US20250077926A1 - Multi-Layered Cap Wafers for Modular Quantum Processing Units - Google Patents
Multi-Layered Cap Wafers for Modular Quantum Processing Units Download PDFInfo
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N10/00—Quantum computing, i.e. information processing based on quantum-mechanical phenomena
- G06N10/40—Physical realisations or architectures of quantum processors or components for manipulating qubits, e.g. qubit coupling or qubit control
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- H—ELECTRICITY
- H10—SEMICONDUCTOR DEVICES; ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
- H10N—ELECTRIC SOLID-STATE DEVICES NOT OTHERWISE PROVIDED FOR
- H10N69/00—Integrated devices, or assemblies of multiple devices, comprising at least one superconducting element covered by group H10N60/00
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- G—PHYSICS
- G06—COMPUTING OR CALCULATING; COUNTING
- G06N—COMPUTING ARRANGEMENTS BASED ON SPECIFIC COMPUTATIONAL MODELS
- G06N10/00—Quantum computing, i.e. information processing based on quantum-mechanical phenomena
- G06N10/70—Quantum error correction, detection or prevention, e.g. surface codes or magic state distillation
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L23/00—Details of semiconductor or other solid state devices
- H01L23/552—Protection against radiation, e.g. light or electromagnetic waves
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01L—SEMICONDUCTOR DEVICES NOT COVERED BY CLASS H10
- H01L23/00—Details of semiconductor or other solid state devices
- H01L23/58—Structural electrical arrangements for semiconductor devices not otherwise provided for, e.g. in combination with batteries
- H01L23/64—Impedance arrangements
- H01L23/66—High-frequency adaptations
Definitions
- the following description relates to integrating superconducting circuit quantum processor chips with multi-layered cap wafers to form modular quantum processing units.
- Quantum computers can perform computational tasks by storing and processing information within quantum states of quantum systems.
- qubits i.e., quantum bits
- quantum bits can be stored in, and represented by, an effective two-level sub-manifold of a quantum coherent physical system.
- a variety of physical systems have been proposed for quantum computing applications. Examples include superconducting circuits, trapped ions, spin systems and others.
- FIG. 1 is a block diagram of an example computing environment.
- FIG. 2 is a schematic diagram of a cross-sectional view of an example quantum processor module.
- FIGS. 4 A- 4 B are schematic diagrams of a top view and a cross-sectional view of an example quantum processor module.
- FIG. 5 is a schematic diagram of a top view of an example cap wafer.
- FIG. 6 A is a schematic diagram of a cross-sectional view of an example quantum processor module.
- FIG. 6 B is a schematic diagram of a cross-sectional view of an example quantum processor module.
- FIG. 7 B are schematic diagrams of a perspective view and a cross-sectional view of an example quantum processor chip.
- FIG. 7 C are schematic diagrams of a perspective view and cross-sectional views of an example quantum processor module.
- FIG. 8 is a flow chart showing aspects of an example fabrication process.
- FIG. 10 A is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit with one cap wafer for each of quantum processor chips.
- FIG. 10 B is a cross-sectional schematic diagram showing aspects of the example modular quantum processing unit of FIG. 10 A .
- FIG. 11 is a flow chart showing aspects of an example manufacturing process of inter-module coupler devices on a substrate.
- FIG. 12 A is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit.
- FIG. 12 B is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit.
- FIG. 13 is a schematic diagram showing aspects of an example modular quantum processing unit.
- FIG. 14 is a schematic diagram showing aspects of an example modular quantum processing unit.
- FIG. 15 is a schematic diagram showing aspects of an example module integration plate.
- FIG. 16 A is a flow chart showing aspects of an example process of manufacturing a substrate.
- FIG. 16 B is a flow chart showing aspects of an example process of manufacturing a module integration plate.
- FIG. 17 shows perspective view and cross-section view (A-A′) of an example module integration plate.
- FIG. 18 A shows exploded-view and assembled-view of an example modular quantum processing unit.
- FIG. 18 B is a schematic diagram showing a perspective view of the example assembly of module integration plate, interposer, and thermalization substrate shown in FIG. 18 A .
- FIGS. 19 A- 19 C are schematic diagrams showing cross-sectional views of example quantum processor modules with multi-layered quantum processor chips.
- FIGS. 20 A- 20 C are block diagrams showing aspects of example quantum processor modules with multi-layered quantum processor chips.
- FIG. 21 is a schematic diagram showing aspects of an example modular quantum processing unit.
- FIGS. 22 A- 22 C are circuit diagrams showing aspects of example readout circuits.
- a modular quantum processing unit includes one or more cap wafers and a plurality of quantum processor chips.
- Each cap wafer can include a wafer stack that defines a plurality of layers, and circuit elements can be deployed on one or more of the layers in the cap wafer.
- an intermediate layer within the cap wafer includes one or more Purcell filters, reflective attenuators, frequency-specific filters, or a combination of these and other devices.
- the QPU may also include a module integration plate that includes inter-module coupling between the quantum processor chips.
- a quantum processing unit includes a quantum processor chip with quantum circuit devices based on, for example, superconducting devices, and other superconducting circuitry.
- the quantum processing unit further includes a cap wafer bonded with the quantum processor chip.
- a cap wafer includes recesses, each of which is defined by a recessed surface and sidewalls. Recesses on the cap wafer form respective enclosures that house the respective quantum circuit devices on the quantum processor chip.
- the cap wafer may include various superconducting circuitry (e.g., the circuitry 214 , 216 , 218 , 220 of FIG.
- the cap wafer may include other features, such as, for example, electrically conductive vias (e.g., the conductive vias 222 A, 222 B of FIG. 2 ) that can be used to galvanically couple circuitry on various surfaces.
- electrically conductive vias e.g., the conductive vias 222 A, 222 B of FIG. 2
- recesses in the cap wafer can provide technical advantages and improvements.
- a participation ratio of electric fields around a quantum circuit device can be tuned to improve QPU performance attributes, such as coherence times, flux cross-talk, gate fidelity, or another performance parameter.
- a participation ratio can be tuned by controlling a depth of a recess and thus the distance between a ground plane disposed on a recessed surface of the recess and a respective quantum circuit device enclosed by the recess.
- various circuitry on a cap wafer may include a variety of circuit elements to control or readout quantum circuit devices on a quantum processor chip.
- Circuit elements on a cap wafer may be disposed on multiple layers of a cap wafer, for example, on end layers (the outermost layers of the cap wafer), on intermediate layers (layers defined within the cap wafer, between the end wafers) or both.
- a cap wafer may include flux bias lines that can be inductively coupled to quantum circuit devices on a quantum processor chip to provide magnetic flux locally, for example, to tune their frequencies.
- a cap wafer may also include microwave lines which can be capacitively coupled to quantum circuit devices, for example, to control qubits.
- a cap wafer includes microwave resonator devices which can be capacitively coupled to quantum circuit devices, for example, to the readout resonator devices 500 shown in FIG. 5 .
- other circuit elements such as filters, isolators, circulators, or amplifiers, which would otherwise be deployed in an external module or package, can be included in the cap wafer.
- the multiple layers of the cap wafer are formed on one another in a sequence of processes (e.g., patterning each cap wafer and bond cap wafers to one another to form the multi-layered cap wafer).
- the layers within each cap wafer are oriented parallel to one another, and the layers are oriented parallel to the quantum processor chip when the cap wafer is bonded to the quantum processor chip.
- control signals can be supplied to quantum circuit devices on a quantum processor chip (e.g., galvanically, capacitively, or inductively) through circuitry, electrically conductive vias, and/or bonding bumps on a cap wafer. Therefore, the methods and techniques presented here can free up space on a quantum processor chip allowing for more dense quantum circuits and reduce the number of interconnections. In some instances, a cap wafer can provide opportunities to simplify the circuit design and improve the yield of a quantum integrated circuit (QuIC) on a quantum processor chip.
- QIC quantum integrated circuit
- ground planes can be included on a cap wafer, which may allow better isolations of quantum circuit devices on a quantum processor chip. Ground planes on a cap wafer can be used to guide, disperse, and remove supercurrents away from quantum circuit devices. Consequently, unpredictable non-localized interactions, flux crosstalk, and coherent error caused by the propagation of the supercurrents can be reduced.
- a conductive layer can be formed on a recessed surface and sidewalls of a recess on a cap wafer, which, when being arranged around a quantum circuit device of a quantum processor chip, can effectively form a Faraday cage that reduces electrical noise.
- a superconducting layer can be formed on a recessed surface and sidewalls of a recess, which, when being arranged around a quantum circuit device, can be used as a magnetic shield to reduce the impact of stray magnetic fields on the quantum circuit device.
- a cap wafer could provide protection to quantum circuit devices from other sources of interference and noise, including electromagnetic pulse damage, electrostatic discharge, ionizing radiation, and/or thermal radiation.
- a cap wafer could also improve the performance of Radio Frequency Monolithic Microwave Integrated Circuit (RF MMIC) chips by reducing interference, either from the MMIC itself or from neighboring RF circuitry.
- RF MMIC Radio Frequency Monolithic Microwave Integrated Circuit
- a cap wafer can include a barrier layer for reflecting thermal radiation to reduce heat load on quantum circuit devices.
- a cap wafer may include thermal pathways to improve heatsinking.
- an antenna or an array of antennas may be included on a cap wafer for the RF-MMIC chips on a quantum processor chip, where dimensions of the antenna and the RF-MMIC chip become comparable.
- a modular quantum processing unit includes one or more quantum processor modules and one or more module integration plates that include inter-module coupler devices.
- a module integration plate may provide spatial alignment of the quantum processor modules in an array, and functional connectivity between, quantum processor modules; as such, a module integration plate may serve as an inter-module coupler structure and may also serve other functions.
- Each of the quantum processor modules includes a first plurality of quantum processor chips and a second plurality of cap wafers.
- Each of the one or more module integration plates includes recesses and inter-module coupler devices. Each of the recesses can be configured to house quantum processor chips; and each of the inter-module coupler devices can be configured to communicably couple quantum processor chips housed in distinct recesses.
- each of the module integration plates includes through-hole vias and cavities which allows integration with other components of the modular quantum processing unit, e.g., an interposer and a thermalization substrate.
- Each of the recesses can be configured to house one or more quantum processor chips.
- FIG. 17 shows an example of a module integration plate which includes four recesses, and each recess is configured to house two quantum processor chips attached to the same cap wafer.
- the modules integration plate can be implemented as a monolithic solid unit which can simplify processing steps to interconnect multiple quantum processor chips.
- a module integration plate, an interposer and a thermalization substrate may improve the tolerance in mechanical variations (e.g., curvature, thickness, etc.) during the assembling process.
- An interposer with spring-loaded pin connections can also reduce or avoid formation of a chip-mode resonance and to mitigate unwanted modes (e.g., coupled slotline mode, parallel-plate waveguide modes, or resonant patch mode).
- the thermalization substrate can effectively dissipate heat generated from the quantum processor chips to regulate operation temperature of the quantum processor chips. In some cases, a combination of these and potentially other advantages and improvements may be obtained.
- a modular quantum processing unit includes one or more multi-layered cap wafers and a plurality of quantum processor chips that are connected to each other.
- the QPU may also include a module integration plate that provides inter-module coupling between the quantum processor chips.
- a multi-layered cap wafer includes multiple metallization layers, e.g., first and second end layers, and at least one intermediate layer residing between the first and second end layers. The first end layer of the multi-layered quantum processor chip resides closest to the quantum processor chip; and the second end layer of the multi-layered quantum processor chip resides farthest from the quantum processor chip.
- the multiple metallization layers in the multi-layered cap model are connected to each other by interconnections, e.g., conductive through-hole vias, bonding bumps, capacitive electrodes, or other types of interconnections.
- a quantum state of a qubit device on the quantum processor chip can be controlled and measured.
- a qubit device on the quantum processor chip may be capacitively coupled to a readout resonator on a readout line.
- the multi-layered cap wafers may include a Purcell filter (e.g., a microwave frequency-selective filter to suppress the Purcell effect) between the measurement line and the readout resonator that is associated with the qubit device.
- the Purcell filter can be configured to suppress signal propagation at a qubit operating frequency of the qubit device (to extend coherence time) and to allow signal propagation at a resonator operating frequency of the readout resonator (to increase readout measurement speed).
- Purcell filters reside on at least one intermediate layer of the multi-layered cap wafer; and readout resonators may reside on the quantum processor chip, on the first end layer of the multi-layered cap wafer, or a combination of these and other locations.
- Each Purcell filter may be connected (e.g., capacitively or inductively) to a corresponding readout resonator and a corresponding measurement line.
- a qubit device may be inductively or capacitively coupled to a frequency-specific filter on a flux bias control line, a reflective attenuator on a microwave drive line or other microwave circuit elements on other control lines.
- the intermediate layer of the multi-layered cap wafers may also include the frequency-specific filters, the reflective attenuators, or the other microwave circuit elements.
- a Purcell filter that allows transmission at the readout resonator operating frequency but blocks transmission at the qubit operating frequency may increase the resonator-feedline coupling for faster/higher-fidelity readout without sacrificing performance.
- a reflective attenuator or a frequency-specific filter is configured to confine the qubit energy on the quantum processor chip; block signals at qubit operating frequencies; reduce losses from the qubit devices; and improve lifetime of qubit modes; and improve coherence time.
- a multi-layered cap wafer can provide additional space for microwave circuit elements including Purcell filters, frequency-specific filters, and reflective attenuators with larger feature sizes to reduce fabrication variability, to improve frequency accuracy and reliability.
- a multi-layered cap wafer can allow further increasing the spatial density of qubit devices in a quantum processor chip and thus, can facilitate the formation of highly integrated modular quantum processing units. In some cases, a combination of these and potentially other advantages and improvements may be obtained.
- FIG. 1 is a block diagram of an example computing environment 100 .
- the example computing environment 100 shown in FIG. 1 includes a computing system 101 and user devices 110 A, 110 B, 110 C.
- a computing environment may include additional or different features, and the components of a computing environment may operate as described with respect to FIG. 1 or in another manner.
- the example computing system 101 includes classical and quantum computing resources and exposes their functionality to the user devices 110 A, 110 B, 110 C (referred to collectively as “user devices 110 ”).
- the computing system 101 shown in FIG. 1 includes one or more servers 108 , quantum computing systems 103 A, 103 B, a local network 109 and other resources 107 .
- the computing system 101 may also include one or more user devices (e.g., the user device 110 A) as well as other features and components.
- a computing system may include additional or different features, and the components of a computing system may operate as described with respect to FIG. 1 or in another manner.
- the example computing system 101 can provide services to the user devices 110 , for example, as a cloud-based or remote-accessed computer system, as a distributed computing resource, as a supercomputer or another type of high-performance computing resource, or in another manner.
- the computing system 101 or the user devices 110 may also have access to one or more other quantum computing systems (e.g., quantum computing resources that are accessible through the wide area network 115 , the local network 109 , or otherwise).
- the user devices 110 shown in FIG. 1 may include one or more classical processors, memory, user interfaces, communication interfaces, and other components.
- the user devices 110 may be implemented as laptop computers, desktop computers, smartphones, tablets, or other types of computer devices.
- the user devices 110 send information (e.g., programs, instructions, commands, requests, input data, etc.) to the servers 108 ; and in response, the user devices 110 receive information (e.g., application data, output data, prompts, alerts, notifications, results, etc.) from the servers 108 .
- the user devices 110 may access services of the computing system 101 in another manner, and the computing system 101 may expose computing resources in another manner.
- the local user device 110 A operates in a local environment with the servers 108 and other elements of the computing system 101 .
- the user device 110 A may be co-located with (e.g., located within 0.5 to 1 km of) the servers 108 and possibly other elements of the computing system 101 .
- the user device 110 A communicates with the servers 108 through a local data connection.
- the local data connection in FIG. 1 is provided by the local network 109 .
- the local network 109 operates as a communication channel that provides one or more low-latency communication pathways from the server 108 to the quantum computer systems 103 A, 103 B (or to one or more of the elements of the quantum computer systems 103 A, 103 B).
- the local network 109 can be implemented, for instance, as a wired or wireless Local Area Network, an Ethernet connection, or another type of wired or wireless connection.
- the local network 109 may include one or more wired or wireless routers, wireless access points (WAPs), wireless mesh nodes, switches, high-speed cables, or a combination of these and other types of local network hardware elements.
- the local network 109 includes a software-defined network that provides communication among virtual resources, for example, among an array of virtual machines operating on the server 108 and possibly elsewhere.
- the remote user devices 110 B, 110 C operate remote from the servers 108 and other elements of the computing system 101 .
- the user devices 110 B, 110 C may be located at a remote distance (e.g., more than 1 km, 10 km, 100 km, 1,000 km, 10,000 km, or farther) from the servers 108 and possibly other elements of the computing system 101 .
- each of the user devices 110 B, 110 C communicates with the servers 108 through a remote data connection.
- the remote data connection in FIG. 1 is provided by a wide area network 115 , which may include, for example, the Internet or another type of wide area communication network.
- remote user devices use another type of remote data connection (e.g., satellite-based connections, a cellular network, a virtual private network, etc.) to access the servers 108 .
- the wide area network 115 may include one or more internet servers, firewalls, service hubs, base stations, or a combination of these and other types of remote networking elements.
- the computing environment 100 can be accessible to any number of remote user devices.
- the example servers 108 shown in FIG. 1 can manage interaction with the user devices 110 and utilization of the quantum and classical computing resources in the computing system 101 . For example, based on information from the user devices 110 , the servers 108 may delegate computational tasks to the quantum computing systems 103 A, 103 B and the other resources 107 ; the servers 108 can then send information to the user devices 110 based on output data from the computational tasks performed by the quantum computing systems 103 A, 103 B and the other resources 107 .
- the servers 108 are classical computing resources that include classical processors 111 and memory 112 .
- the servers 108 may also include one or more communication interfaces that allow the servers to communicate via the local network 109 , the wide area network 115 , and possibly other channels.
- the servers 108 may include a host server, an application server, a virtual server, or a combination of these and other types of servers.
- the servers 108 may include additional or different features, and may operate as described with respect to FIG. 1 or in another manner.
- the classical processors 111 can include various kinds of apparatus, devices, and machines for processing data, including, by way of example, a microprocessor, a central processing unit (CPU), a graphics processing unit (GPU), an FPGA (field programmable gate array), an ASIC (application specific integrated circuit), or combinations of these.
- the memory 112 can include, for example, a random access memory (RAM), a storage device (e.g., a writable read-only memory (ROM) or others), a hard disk, or another type of storage medium.
- the memory 112 can include various forms of volatile or non-volatile memory, media and memory devices, etc.
- Each of the example quantum computing systems 103 A, 103 B operates as a quantum computing resource in the computing system 101 .
- the other resources 107 may include additional quantum computing resources (e.g., quantum computing systems, quantum virtual machines (QVMs) or quantum simulators) as well as classical (non-quantum) computing resources such as, for example, digital microprocessors, specialized co-processor units (e.g., graphics processing units (GPUs), cryptographic co-processors, etc.), special purpose logic circuitry (e.g., field programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), etc.), systems-on-chips (SoCs), etc., or combinations of these and other types of computing modules.
- quantum computing resources e.g., quantum computing systems, quantum virtual machines (QVMs) or quantum simulators
- classical (non-quantum) computing resources such as, for example, digital microprocessors, specialized co-processor units (e.g., graphics processing units (GPUs
- programs can be formatted as source code that can be rendered in human-readable form (e.g., as text) and can be compiled, for example, by a compiler running on the servers 108 , on the quantum computing systems 103 , or elsewhere.
- programs can be formatted as compiled code, such as, for example, binary code (e.g., machine-level instructions) that can be executed directly by a computing resource.
- Each program may include instructions corresponding to computational tasks that, when performed by an appropriate computing resource, generate output data based on input data.
- a program can include instructions formatted for a quantum computer system, a quantum virtual machine, a digital microprocessor, co-processor or other classical data processing apparatus, or another type of computing resource.
- a program may be expressed in terms of control signals (e.g., pulse sequences, delays, etc.) and parameters for the control signals (e.g., frequencies, phases, durations, channels, etc.). In some cases, a program may be expressed in another form or format.
- control signals e.g., pulse sequences, delays, etc.
- parameters for the control signals e.g., frequencies, phases, durations, channels, etc.
- a program may be expressed in another form or format.
- a compiler generates a partial binary program that can be updated, for example, based on specific parameters. For instance, if a quantum program is to be executed iteratively on a quantum computing system with varying parameters on each iteration, the compiler may generate the binary program in a format that can be updated with specific parameter values at runtime (e.g., based on feedback from a prior iteration, or otherwise). In some cases, a compiler generates a full binary program that does not need to be updated or otherwise modified for execution.
- all or part of the computing environment operates as a cloud-based quantum computing (QC) environment
- the servers 108 operate as a host system for the cloud-based QC environment.
- the cloud-based QC environment may include software elements that operate on both the user devices 110 and the computer system 101 and interact with each other over the wide area network 115 .
- the cloud-based QC environment may provide a remote user interface, for example, through a browser or another type of application on the user devices 110 .
- the remote user interface may include, for example, a graphical user interface or another type of user interface that obtains input provided by a user of the cloud-based QC environment.
- the remote user interface includes, or has access to, one or more application programming interfaces (APIs), command line interfaces, graphical user interfaces, or other elements that expose the services of the computer system 101 to the user devices 110 .
- APIs application programming interfaces
- command line interfaces command line interfaces
- graphical user interfaces or other elements that expose the services of the computer system 101 to the user
- the cloud-based QC environment may be deployed in a “serverless” computing architecture.
- the cloud-based QC environment may provide on-demand access to a shared pool of configurable computing resources (e.g., networks, servers, storage, applications, services, quantum computing resources, classical computing resources, etc.) that can be provisioned for requests from user devices 110 .
- the cloud-based computing systems 104 may include or utilize other types of computing resources, such as, for example, edge computing, fog computing, etc.
- the servers 108 may operate as a cloud provider that dynamically manages the allocation and provisioning of physical computing resources (e.g., GPUs, CPUs, QPUs, etc.). Accordingly, the servers 108 may provide services by defining virtualized resources for each user account. For instance, the virtualized resources may be formatted as virtual machine images, virtual machines, containers, or virtualized resources that can be provisioned for a user account and configured by a user.
- the cloud-based QC environment is implemented using a resource such as, for example, OPENSTACK®.
- OPENSTACK® is an example of a software platform for cloud-based computing, which can be used to provide virtual servers and other virtual computing resources for users.
- the server 108 stores quantum machine images (QMI) for each user account.
- QMI quantum machine images
- a quantum machine image may operate as a virtual computing resource for users of the cloud-based QC environment.
- a QMI can provide a virtualized development and execution environment to develop and run programs (e.g., quantum programs or hybrid classical/quantum programs).
- programs e.g., quantum programs or hybrid classical/quantum programs.
- the QMI may engage either of the quantum processor units 102 A, 102 B, and interact with a remote user device ( 110 B or 110 C) to provide a user programming environment.
- the QMI may operate in close physical proximity to, and have a low-latency communication link with the quantum computing systems 103 A, 103 B.
- remote user devices connect with QMIs operating on the servers 108 through secure shell (SSH) or other protocols over the wide area network 115 .
- SSH secure shell
- the servers 108 can select the type of computing resource (e.g., quantum or classical) to execute an individual program, or part of a program, in the computing system 101 .
- the servers 108 may select a particular quantum processing unit (QPU) or other computing resource based on availability of the resource, speed of the resource, information or state capacity of the resource, a performance metric (e.g., process fidelity) of the resource, or based on a combination of these and other factors.
- the servers 108 can perform load balancing, resource testing and calibration, and other types of operations to improve or optimize computing performance.
- Each of the example quantum computing systems 103 A, 103 B shown in FIG. 1 can perform quantum computational tasks by executing quantum machine instructions (e.g., a binary program compiled for the quantum computing system).
- a quantum computing system can perform quantum computation by storing and manipulating information within quantum states of a composite quantum system.
- qubits i.e., quantum bits
- quantum logic can be executed in a manner that allows large-scale entanglement within the quantum system.
- Control signals can manipulate the quantum states of individual qubits and the joint states of multiple qubits.
- information can be read out from the composite quantum system by measuring the quantum states of the qubits.
- the quantum states of the qubits are read out by measuring the transmitted or reflected signal from auxiliary quantum devices that are coupled to individual qubits.
- a quantum computing system can operate using gate-based models for quantum computing.
- the qubits can be initialized in an initial state, and a quantum logic circuit comprised of a series of quantum logic gates can be applied to transform the qubits and extract measurements representing the output of the quantum computation.
- Individual qubits may be controlled by single-qubit quantum logic gates, and pairs of qubits may be controlled by two-qubit quantum logic gates (e.g., entangling gates that are capable of generating entanglement between the pair of qubits).
- a quantum computing system can operate using adiabatic or annealing models for quantum computing. For instance, the qubits can be initialized in an initial state, and the controlling Hamiltonian can be transformed adiabatically by adjusting control parameters to another state that can be measured to obtain an output of the quantum computation.
- fault-tolerance can be achieved by applying a set of high-fidelity control and measurement operations to the qubits.
- quantum error correcting schemes can be deployed to achieve fault-tolerant quantum computation.
- Other computational regimes may be used; for example, quantum computing systems may operate in non-fault-tolerant regimes.
- a quantum computing system is constructed and operated according to a scalable quantum computing architecture.
- the architecture can be scaled to a large number of qubits to achieve large-scale general purpose coherent quantum computing.
- Other architectures may be used; for example, quantum computing systems may operate in small-scale or non-scalable architectures.
- the example quantum computing system 103 A shown in FIG. 1 includes a quantum processing unit 102 A and a control system 105 A, which controls the operation of the quantum processing unit 102 A.
- the example quantum computing system 103 B includes a quantum processing unit 102 B and a control system 105 B, which controls the operation of a quantum processing unit 102 B.
- a quantum computing system may include additional or different features, and the components of a quantum computing system may operate as described with respect to FIG. 1 or in another manner.
- the quantum processing unit 102 A functions as a quantum processor, a quantum memory, or another type of subsystem.
- the quantum processing unit 102 A includes a quantum circuit system.
- the quantum circuit system may include qubit devices, readout devices, and possibly other devices that are used to store and process quantum information.
- the quantum processing unit 102 A includes a superconducting circuit, and the qubit devices are implemented as circuit devices that include Josephson junctions, for example, in superconducting quantum interference device (SQUID) loops or other arrangements, and are controlled by radio-frequency signals, microwave signals, and bias signals delivered to the quantum processing unit 102 A.
- SQUID superconducting quantum interference device
- the quantum processing unit 102 A may include, or may be deployed within, a controlled environment.
- the controlled environment can be provided, for example, by shielding equipment, cryogenic equipment, and other types of environmental control systems.
- the components in the quantum processing unit 102 A operate in a cryogenic temperature regime and are subject to very low electromagnetic and thermal noise.
- magnetic shielding can be used to shield the system components from stray magnetic fields
- optical shielding can be used to shield the system components from optical noise
- thermal shielding and cryogenic equipment can be used to maintain the system components at controlled temperature, etc.
- the example quantum processing unit 102 A can process quantum information by applying control signals to the qubits in the quantum processing unit 102 A.
- the control signals can be configured to encode information in the qubits, to process the information by performing quantum logic gates or other types of operations, or to extract information from the qubits.
- the operations can be expressed as single-qubit quantum logic gates, two-qubit quantum logic gates, or other types of quantum logic gates that operate on one or more qubits.
- a quantum logic circuit which includes a sequence of quantum logic operations, can be applied to the qubits to perform a quantum algorithm.
- the quantum algorithm may correspond to a computational task, a hardware test, a quantum error correction procedure, a quantum state distillation procedure, or a combination of these and other types of operations.
- the quantum processing unit 102 A may include a quantum processor chip and a cap wafer that are bonded together, for example, using bonding bumps or in another manner.
- the quantum processor chip contains a superconducting circuit with one or more quantum circuit devices.
- the cap wafer contains one or more recesses, each defined by a recessed surface and sidewalls.
- the cap wafer may also contain various superconducting circuitry disposed at various locations, for example, on the recessed surface of the recess, the sidewalls, the front and back surfaces.
- the various superconducting circuitry of the cap wafer can provide various functionality.
- a cap wafer may include circuitry for inductively, capacitively, or galvanically coupling two or more quantum circuit devices on one or more quantum processor chips.
- Circuitry may include a variety of circuit elements to control or readout quantum circuit devices (e.g., qubit devices).
- circuitry on a cap wafer may include coupling lines, microwave lines, microwave feedlines, flux bias lines, combined flux bias and microwave lines, tunable-frequency coupler devices, resonator devices, filters, isolators, circulators, amplifiers, or other circuit elements.
- circuitry at different positions of a cap wafer may be connected through conductive pathways on one or more sidewalls of recesses or through conductive vias through the substrate of the cap wafer.
- the quantum processor chip and the cap wafer may be implemented as any one of the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , or 730 and example cap wafers 212 , 304 , 324 , 404 , 500 , 604 , 634 , 674 , or 718 as shown in FIGS. 2 , 3 A- 3 B, 4 A- 4 B, 5 , 6 A- 6 C , or 7 A- 7 C.
- a cap wafer may be communicably coupled to the control system 105 A, e.g., to receive control signals or transmit readout signals.
- the example quantum processing unit 102 is a modular quantum processing unit that includes multiple quantum processor chipprocessor chips.
- the quantum processing unit 102 may include a two-dimensional or three-dimensional array of quantum processor chips, and each quantum processor chip may include an array of quantum circuit devices.
- the quantum processor chips are supported on a common substrate, and they are interconnected through circuitry (e.g., superconducting circuitry) on the common substrate.
- each of the quantum processor chips can include a superconducting quantum integrated circuit (QuIC) that includes one or more quantum circuit devices and superconductive lines that connect the one or more quantum circuit devices.
- each quantum processor chip may include qubit devices, readout resonator devices, tunable-frequency coupler devices, capacitive coupler devices, or other quantum circuit devices.
- Each quantum processor chip may include flux bias control lines, microwave drive lines, readout signal lines, or other types of control lines for providing control signals to respective quantum circuit devices.
- quantum processor chips can be coupled to each other by inter-module coupler devices in one or more cap wafers.
- a first qubit device on a first quantum processor chip may be capacitively coupled to a tunable-frequency coupler device, which is capacitively coupled to a second qubit device on a second quantum processor chip.
- the tunable-frequency coupler device resides on the first quantum processor chip.
- the tunable-frequency coupler device is coupled to the second qubit device through a microwave transmission line on a cap wafer.
- at least a portion of a tunable-frequency coupler device resides on a cap wafer.
- a tunable-frequency coupler device includes a lossless resonator structure.
- a lossless resonator structure of a tunable-frequency coupler device may include a superconducting loop and a shunt capacitor.
- a portion of the shunt capacitor (e.g., one capacitor electrode) in the tunable-frequency coupler device may reside on the cap wafer.
- a cap wafer and a quantum processor chip in a modular quantum processing unit 102 A are bonded together, for example, by bonding bumps or another type of bond.
- the cap wafer contains one or more recesses, each defined by a recessed surface and sidewalls.
- a recess on the cap wafer can house a qubit device on the quantum processor chip.
- the cap wafer may also contain various superconducting circuitry. Circuitry may include a variety of superconducting circuit elements to control or readout quantum circuit devices (e.g., qubit devices).
- circuitry on a cap wafer may include coupling lines, microwave drive lines, microwave feedlines, flux bias lines, tunable-frequency coupler devices, or other circuit elements.
- a cap wafer may be communicably coupled to the control system 105 , e.g., to receive control signals or transmit readout signals.
- the example control system 105 A includes controllers 106 A and signal hardware 104 A.
- control system 105 B includes controllers 106 B and signal hardware 104 B. All or part of the control systems 105 A, 105 B can operate in a room-temperature environment or another type of environment, which may be located near the respective quantum processing units 102 A, 102 B.
- the control systems 105 A, 105 B include classical computers, signaling equipment (microwave, radio, optical, bias, etc.), electronic systems, vacuum control systems, refrigerant control systems, or other types of control systems that support operation of the quantum processing units 102 A, 102 B.
- the control systems 105 A, 105 B may be implemented as distinct systems that operate independent of each other.
- the control systems 105 A, 105 B may include one or more shared elements; for example, the control systems 105 A, 105 B may operate as a single control system that operates both quantum processing units 102 A, 102 B.
- a single quantum computer system may include multiple quantum processing units, which may operate in the same controlled (e.g., cryogenic) environment or in separate environments.
- the example signal hardware 104 A includes components that communicate with the quantum processing unit 102 A.
- the signal hardware 104 A may include, for example, waveform generators, amplifiers, digitizers, high-frequency sources, DC sources, AC sources, etc.
- the signal hardware may include additional or different features and components.
- components of the signal hardware 104 A are adapted to interact with the quantum processing unit 102 A.
- the signal hardware 104 A can be configured to operate in a particular frequency range, configured to generate and process signals in a particular format, or the hardware may be adapted in another manner.
- one or more components of the signal hardware 104 A generate control signals, for example, based on control information from the controllers 106 A.
- the control signals can be delivered to the quantum processing unit 102 A during operation of the quantum computing system 103 A.
- the signal hardware 104 A may generate signals to implement quantum logic operations, readout operations, or other types of operations.
- the signal hardware 104 A may include arbitrary waveform generators (AWGs) that generate electromagnetic waveforms (e.g., microwave or radio-frequency) or laser systems that generate optical waveforms.
- AMGs arbitrary waveform generators
- the waveforms or other types of signals generated by the signal hardware 104 A can be delivered to devices in the quantum processing unit 102 A to operate qubit devices, readout devices, bias devices, coupler devices, or other types of components in the quantum processing unit 102 A.
- the signal hardware 104 A receives and processes signals from the quantum processing unit 102 A.
- the received signals can be generated by the execution of a quantum program on the quantum computing system 103 A.
- the signal hardware 104 A may receive signals from the devices in the quantum processing unit 102 A in response to readout or other operations performed by the quantum processing unit 102 A.
- Signals received from the quantum processing unit 102 A can be mixed, digitized, filtered, or otherwise processed by the signal hardware 104 A to extract information, and the information extracted can be provided to the controllers 106 A or handled in another manner.
- the signal hardware 104 A may include a digitizer that digitizes electromagnetic waveforms (e.g., microwave or radio-frequency) or optical signals, and a digitized waveform can be delivered to the controllers 106 A or to other signal hardware components.
- the controllers 106 A process the information from the signal hardware 104 A and provide feedback to the signal hardware 104 A; based on the feedback, the signal hardware 104 A can in turn generate new control signals that are delivered to the quantum processing unit 102 A.
- the signal hardware 104 A includes signal delivery hardware that interfaces with the quantum processing unit 102 A.
- the signal hardware 104 A may include filters, attenuators, directional couplers, multiplexers, diplexers, bias components, signal channels, isolators, amplifiers, power dividers and other types of components.
- the signal delivery hardware performs preprocessing, signal conditioning, or other operations to the control signals to be delivered to the quantum processing unit 102 A.
- signal delivery hardware performs preprocessing, signal conditioning or other operations on readout signals received from the quantum processing unit 102 A.
- the example controllers 106 A communicate with the signal hardware 104 A to control operation of the quantum computing system 103 A.
- the controllers 106 A may include classical computing hardware that directly interface with components of the signal hardware 104 A.
- the example controllers 106 A may include classical processors, memory, clocks, digital circuitry, analog circuitry, and other types of systems or subsystems.
- the classical processors may include one or more single- or multi-core microprocessors, digital electronic controllers, special purpose logic circuitry, e.g., an FPGA (field programmable gate array) or an ASIC (application specific integrated circuit), or other types of data processing apparatus.
- the memory may include any type of volatile or non-volatile memory, or another type of computer storage medium.
- the controllers 106 A may also include one or more communication interfaces that allow the controllers 106 A to communicate via the local network 109 and possibly other channels.
- the controllers 106 A may include additional or different features and components.
- the controllers 106 A include memory or other components that store quantum state information, for example, based on qubit readout operations performed by the quantum computing system 103 A.
- quantum state information for example, based on qubit readout operations performed by the quantum computing system 103 A.
- the states of one or more qubits in the quantum processing unit 102 A can be measured by qubit readout operations, and the measured state information can be stored in a cache or other type of memory system in one or more of the controllers 106 A.
- the measured state information is subsequently used in the execution of a quantum program, a quantum error correction procedure, a quantum processing unit (QPU) calibration or testing procedure, or another type of quantum process.
- QPU quantum processing unit
- the controllers 106 A include memory or other components that store a quantum program containing quantum machine instructions for execution by the quantum computing system 103 A. In some instances, the controllers 106 A can interpret the quantum machine instructions and perform hardware-specific control operations according to the quantum machine instructions. For example, the controllers 106 A may cause the signal hardware 104 A to generate control signals that are delivered to the quantum processing unit 102 A to execute the quantum machine instructions.
- the controllers 106 A extract qubit state information from qubit readout signals, for example, to identify the quantum states of qubits in the quantum processing unit 102 A or for other purposes.
- the controllers may receive the qubit readout signals (e.g., in the form of analog waveforms) from the signal hardware 104 A, digitize the qubit readout signals, and extract qubit state information from the digitized signals.
- the controllers 106 A compute measurement statistics based on qubit state information from multiple shots of a quantum program. For example, each shot may produce a bitstring representing qubit state measurements for a single execution of the quantum program, and a collection of bitstrings from multiple shots may be analyzed to compute quantum state probabilities.
- the controllers 106 A include one or more clocks that control the timing of operations. For example, operations performed by the controllers 106 A may be scheduled for execution over a series of clock cycles, and clock signals from one or more clocks can be used to control the relative timing of each operation or groups of operations. In some implementations, the controllers 106 A may include classical computer resources that perform some or all of the operations of the servers 108 described above.
- the controllers 106 A may operate a compiler to generate binary programs (e.g., full or partial binary programs) from source code; the controllers 106 A may include an optimizer that performs classical computational tasks of a hybrid classical/quantum program; the controllers 106 A may update binary programs (e.g., at runtime) to include new parameters based on an output of the optimizer, etc.
- binary programs e.g., full or partial binary programs
- the controllers 106 A may include an optimizer that performs classical computational tasks of a hybrid classical/quantum program
- the controllers 106 A may update binary programs (e.g., at runtime) to include new parameters based on an output of the optimizer, etc.
- the other quantum computer system 103 B and its components can be implemented as described above with respect to the quantum computer system 103 A; in some cases, the quantum computer system 103 B and its components may be implemented or may operate in another manner.
- the quantum computer systems 103 A, 103 B are disparate systems that provide distinct modalities of quantum computation.
- the computer system 101 may include both an adiabatic quantum computer system and a gate-based quantum computer system.
- the computer system 101 may include a superconducting circuit-based quantum computer system and an ion trap-based quantum computer system. In such cases, the computer system 101 may utilize each quantum computing system according to the type of quantum program that is being executed, according to availability or capacity, or based on other considerations.
- FIG. 2 is a schematic diagram of a cross-sectional view of an example quantum processing unit 200 .
- the example quantum processing unit 200 includes a quantum processor chip 202 and a cap wafer 212 , which are bonded together by bonding bumps 224 .
- the quantum processor chip 202 contains quantum circuit devices 204 as part of a superconducting circuit 206 .
- the quantum circuit devices 204 can be, for example, qubit devices (e.g., transmon devices, fluxonium devices, or other types of superconducting qubit devices), coupler devices, readout devices or other types of devices that are used for quantum information processing in the quantum processing unit 200 .
- the quantum circuit devices 204 may include one or more Josephson junctions, capacitors, inductors, and other types of circuit elements.
- the cap wafer 204 includes recesses 232 and various superconducting circuitry (e.g., 214 , 216 , 218 , 220 , and 222 ) disposed at various positions of the cap wafer 204 providing various functionalities.
- various superconducting circuitry e.g., 214 , 216 , 218 , 220 , and 222
- the use of the cap wafer 212 can improve coherence times of quantum circuit devices 204 .
- the example quantum processing unit 200 may include additional and different features or components and components of the example quantum processing unit 200 may be implemented in another manner.
- the quantum processor chip 202 includes a first substrate 203 .
- the first substrate 203 supporting the superconducting circuit 206 and the quantum circuit devices 204 is referred to as the quantum processor chip 202 .
- the cap wafer 212 includes a second substrate 213 .
- the second substrate 213 defining the recesses 232 and supporting the various superconducting circuitry is referred to as the cap wafer 212 .
- the quantum circuit devices 204 may include a two-dimensional array of qubit devices (e.g., on the surface along XY plane) and the recesses 232 of the cap wafer 212 may be arranged so as to form encapsulation for respective quantum circuit devices 204 when the cap wafer 212 and the quantum processor chip 202 are bonded together.
- the example quantum processing unit 200 may include more than one quantum processor chip 202 bonded to the same cap wafer 212 on the same side or on the opposite side.
- the cap wafer 212 can be used to inductively, capacitively, or galvanically couple multiple quantum circuit devices 204 fabricated on multiple quantum processor chips 202 , or multiple dies (e.g., the device dies 302 A, 302 B, and 302 C as shown in FIG. 3 A ).
- the first and second substrates 203 , 213 may include a dielectric substrate (e.g., silicon, sapphire, etc.).
- the first and second substrates 203 , 213 may include an elemental semiconductor material such as, for example, silicon (Si), germanium (Ge), selenium (Se), tellurium (Te), or another elemental semiconductor.
- the first and second substrates 203 , 213 may also include a compound semiconductor such as silicon germanium (SiGe), silicon carbide (SiC), silicon germanium carbide (SiGeC), aluminum oxide (sapphire), gallium arsenide (GaAs), indium arsenide (InAs), indium phosphide (InP), gallium arsenic phosphide (GaAsP), or gallium indium phosphide (GaInP).
- the first and second substrates 203 , 213 may also include a superlattice with elemental or compound semiconductor layers.
- the first and second substrates 203 , 213 include an epitaxial layer.
- the first and second substrates 203 , 213 may have an epitaxial layer overlying a bulk semiconductor or may include a semiconductor-on-insulator (SOI) structure.
- SOI semiconductor-on-insulator
- the quantum circuit devices 204 and the superconducting circuit 206 on the quantum processor chip 202 and the various superconducting circuitry (e.g., the circuitry portions 214 , 216 , 218 , 220 , and 222 ) on the cap wafer 212 include superconducting materials.
- the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example quantum processing unit 200 , or another superconducting metal.
- the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy.
- the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material.
- the superconducting materials may include multilayer superconductor-insulator heterostructures.
- the quantum circuit devices 204 and the superconducting circuit 206 can be formed on a top surface of the first substrate and patterned using a microfabrication process or in another manner.
- the superconducting circuit 206 and the quantum circuit devices 204 may be formed by performing at least some of the following fabrication steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), and/or other suitable techniques to deposit respective superconducting layers on the first substrate; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.) to form openings in the respective superconducting layers.
- a cap wafer may be formed with respect to the example process 800 shown in FIG. 8 .
- the cap wafer 212 includes a first surface 234 and a second, opposite surface 236 .
- Each of the recesses 232 is defined by a recessed surface 238 and sidewalls 240 .
- the recessed surface 238 is located at a depth in the cap wafer 212 relative to the first surface 234 .
- each of the recesses 232 may be a cavity, a shallow trench, a deep trench, or in another form.
- Dimension and shape of a recess 232 may be determined according to the dimension and shape of the quantum circuit device 204 or the superconducting circuit 206 associated with or enclosed by the recess.
- a recess 232 in a form of a cavity can be used to form an enclosure to a quantum circuit device 204 ; and a recess 232 in a form of a shallow trench may be used to form an enclosure to a control line (e.g., the control line 416 as shown in FIGS. 4 A- 4 B ).
- a control line e.g., the control line 416 as shown in FIGS. 4 A- 4 B .
- each of the recesses 232 has vertical sidewalls 240 along the Z-direction perpendicular to the first and second surfaces 234 , 236 .
- the recesses 232 may include angled or sloped sidewalls 240 between the first surface 234 and the recessed surface 238 .
- the recesses 232 are defined on the first surface 234 of the cap wafer 212 at positions corresponding to the quantum circuit devices 204 or the superconducting circuit 206 disposed on the quantum processor chip 202 .
- the quantum processor chip 202 and the cap wafer 212 are arranged such that a recess 232 of the cap wafer 212 forms an enclosure that houses a respective quantum circuit device 204 .
- a depth of the recessed surface 238 relative to the first surface 234 (e.g., a vertical distance between the first surface 234 and the recessed surface 238 ) of each recess 232 can be in a range of 5-500 ⁇ m.
- a lateral dimension of a recess 232 along the X axis or the Y axis is greater than a respective quantum circuit device 204 enclosed by the recess 232 .
- the lateral dimension of a recess 232 may be determined by another design parameter. For example, in order to suppress propagation of electromagnetic waves with a frequency less than a cut off frequency inside a recess 232 , the lateral dimension of the recess 232 can be determined as a value which is less than a maximal distance corresponding to the cutoff frequency.
- the depth of each recess 232 can determine a participation ratio of the electric fields around the quantum circuit device 204 .
- a participation ratio can be adjusted to tune the coherence time of the quantum circuit device 204 .
- a ground plane can reside on the recessed surface 238 in the cap wafer 212 .
- the distances between the ground plane and the quantum circuit device 204 can be controlled allowing some of the electric field between the ground plane and the quantum circuit device 204 to be confined in the space defined by the recess 232 , rather than in the lossy first substrate 203 of the quantum processor chip 202 .
- the participation ratio can be controlled by tuning the depth of the recess 232 of the cap wafer 212 as compared to the thickness of the quantum processor chip 202 .
- the depth of each of the recesses 232 can be determined according to a desired coupling between the circuitry on the recessed surface 238 and the quantum circuit device 204 on the surface of the quantum processor chip 202 .
- the first and second substrates 203 , 213 may have a high permittivity to reduce capacitive cross-talk between the superconducting circuit 206 and the circuitry portions 214 , 216 as the electric fields stay localized in the first and second substrates 203 , 213 , respectively.
- the cap wafer 212 is bonded to the quantum processor chip 202 using bonding bumps 224 .
- each of the bonding bumps 224 may include conductive or superconductive materials, such as copper or indium bumps.
- the cap wafer 212 is bonded with the quantum processor chip 202 with the first surface 234 facing the surface of the quantum processor chip 202 on which the quantum circuit devices 204 and the superconducting circuit 206 are disposed.
- the bonding bumps 224 can provide electrical communication of the superconducting circuit 206 on the quantum processor chip 202 with the various circuitry portions (e.g., 214 , 216 , 218 , and 220 ) on the cap wafer 212 .
- the gap between the first surface 234 of the cap wafer 212 and the surface where the quantum circuit devices 204 reside on the quantum processor chip 202 is determined by the height of the bonding bumps 224 .
- the height of the bonding bumps can be controlled by the thickness of the bonding bumps initially deposited on the cap wafer 212 and the bonding process.
- the gap between the cap wafer 212 and the quantum processor chip 202 is equal to or less than 3 ⁇ m, or in another range.
- adjacent quantum circuit devices 204 disposed on the quantum processor chip 202 can be coupled through a coupling line as a part of the superconducting circuit 206 extending along the surface of the quantum processor chip 202 over at least a portion of the distance between the adjacent quantum circuit devices 204 .
- the coupling between the adjacent quantum circuit devices 204 can be capacitive or direct.
- at least a portion of the coupling line can also be encapsulated by a respective recess 232 in the cap wafer 212 .
- multiple quantum circuit devices 204 can form a lattice, in which all or a subset of the quantum circuit devices 204 (e.g., each qubit device) in the lattice are coupled to one or more neighboring quantum circuit devices 204 .
- a lattice may be coupled to one or more neighboring lattices.
- the circuitry portions 214 , 216 , 218 , 220 on the cap wafer 212 may include a variety of circuit elements to control or readout the quantum circuit devices 204 on the quantum processor chip 202 .
- the circuitry portion 216 includes flux bias lines which can provide magnetic flux locally to qubit devices to tune their frequencies.
- the circuitry portion 216 may be implemented as the circuitry shown in FIGS. 4 A, 4 B , or in another manner.
- the circuitry portion 216 may also include tunable-frequency coupler devices, and microwave feedlines.
- the circuitry portion 216 on the recessed surface 238 may include resonator devices which are capacitively coupled to qubit devices to readout qubits.
- the circuitry portion 216 may include microwave feedlines which are coupled to one or several of the resonator devices to allow microwave excitation of the resonator devices used to readout qubits.
- the circuitry portion 216 may be implemented as the planar resonators 504 shown in FIG. 5 .
- the circuitry portion 214 on the first surface 234 of the cap wafer 212 may include microwave lines which are capacitively coupled to qubit devices to drive qubits.
- the circuitry portion 220 on the second surface 236 or the circuitry portion 214 on the first surface 234 of the cap wafer 212 may further include filters, isolators, circulators, amplifiers, or other circuit elements.
- the circuitry portion 216 on the recessed surface 238 may be coupled to the circuitry portion 214 on the first surface 234 and the circuitry portion 220 on the second surface 236 through conductive pathways.
- the circuitry portion 216 can be galvanically coupled to the circuitry portion 214 through conductive lines 218 disposed or patterned on sidewalls 240 of the recess 232 .
- each of the conductive lines 218 includes a patterned metal coating that covers a portion of the sidewalls 240 extending from the recessed surface 238 to the first surface 234 .
- each of the conductive lines 218 include an unpatterned metal coating that covers the entire sidewalls 240 .
- the circuitry portion 216 may be electrically coupled to the circuitry portion 214 through the conductive vias 222 A, 222 B and the circuitry portion 220 on the second surface 236 .
- the circuitry portion 216 and the circuitry portion 214 may be coupled in another manner.
- the circuitry portion 214 on the first surface 234 of the cap wafer 212 can be capacitively and/or inductively coupled to the circuitry portion 216 on the recessed surface 238 of the cap wafer, for example, using an interdigitated capacitive coupler device.
- the circuitry portions 214 and 216 may be inductively coupled.
- the circuitry portions 214 and 216 including coplanar waveguides may be arranged next to each other so as to be inductively coupled.
- the circuitry portion 216 may include a bias tee or a diplexer circuit containing capacitive and/or inductive coupling components which is used to combine a high-frequency XY qubit control signal with a low-frequency flux bias control signal received from the circuitry portion 214 .
- the circuitry portions 214 and 216 can be coupled through one or more electrically conductive vias 222 .
- the circuitry portion 214 may be connected to an electrically conductive via 222 A to the circuitry portion 220 on the second surface 236 , which is further connected to the circuitry portion 216 through another electrically conductive via 222 B.
- a capacitance coupling between the two circuitry portions 214 , 216 can be achieved by introducing a thin dielectric layer along the radial or the axial direction in one of the electrically conductive vias 222 A or 222 B.
- the thin dielectric layer When the thin dielectric layer is disposed along the radial direction of the electrically conductive via, the thin dielectric layer can be sandwiched between top and bottom sections of the conductor in a via hole. In some instances, the thin dielectric layer may reside on one end of the electrically conductive via 222 A or 222 B. When the thin dielectric layer is disposed along the axial direction of the electrically conductive via, (e.g., a coaxially filled via hole), the thin dielectric layer may be sandwiched between an outer cylinder-shaped conductor and an inner cylinder-shaped conductor.
- a circuitry portion 228 is formed on the recessed surface 238 and the sidewalls 240 .
- the circuitry portion 228 can be used as a Faraday cage, which can prevent stray electric fields from reaching the quantum circuit device 204 .
- the circuitry portion 228 may also be used to exclude stray magnetic fields from reaching the quantum circuit device 204 .
- the circuitry portions on the cap wafer 212 may be formed in one or more electrically conductive layers on the first surface 234 , the second surface 236 , or the recessed surface 238 .
- the one or more electrically conductive layers may cover at least a portion of sidewalls 240 of each of the recesses 232 .
- each of the one or more electrically conductive layers may include a material that has normal conductance at the operating temperature of the example quantum processing unit 200 .
- the example quantum processing unit 200 can be operated at cryogenic temperatures (e.g., cooled using liquid helium) and each of the one or more electrically conductive layers (or at least a portion) can operate as a superconducting layer at that temperature.
- cryogenic temperatures e.g., cooled using liquid helium
- each of the one or more electrically conductive layers (or at least a portion) can operate as a superconducting layer at that temperature.
- at least a portion of the one or more electrically conductive layers in the various superconducting circuitry of the cap wafer 212 can be grounded.
- the cap wafer 212 includes electrically conductive vias 222 (e.g., via holes filled with conductive materials) each extending through the second substrate 213 .
- a first length of the electrically conductive vias 222 A along the Z axis corresponds to a thickness of the second substrate 213 , which can be in the range of 1 ⁇ m to 2 mm.
- a second length of the electrically conductive vias 222 B along the Z axis corresponds to a difference between the thickness of the second substrate 213 and the depth of the recess 232 .
- the electrically conductive vias 222 A, 222 B include a material (e.g., Al, In, Ti, Pn, Sn, etc.) that is superconducting at an operating temperature of the example quantum processing unit 200 .
- the electrically conductive via 222 A provides an electrical connection between the circuitry portion 214 on the first surface 234 and the circuitry portion 220 on the second surface 236 .
- this enables both outside connections to land on the second surface 236 (e.g., unbonded side) of the cap wafer 212 and then connect to the first surface 234 (e.g., bonded side) and from there down to the superconducting circuit 206 and further to the quantum circuit devices 204 , for example, through the bonding bumps 224 .
- the electrically conductive via 222 B provides an electrical connection between the circuitry portion 220 on the second surface 236 and the circuitry portion 216 on the recessed surface 238 .
- the electrically conductive vias 222 A, 222 B can be used to form a continuous ground plane through the example quantum processing unit 200 , such that a solidly connected ground plane can be maintained across both the quantum processor chip 202 and the cap wafer 212 .
- Multiple electrically conductive vias 222 A, 222 B connected to the ground planes located on the first and second surfaces 234 , 236 of the cap wafer 212 , and the recessed surface 238 may be arranged in a regular array to avoid a formation of a chip-mode resonance and to mitigate unwanted modes (e.g., coupled slotline mode, parallel-plate waveguide modes, or resonant patch mode).
- such a regular array of electrically conductive vias connected to the ground planes can push dielectric chip modes with the cap wafer 212 to higher frequencies.
- quantum circuit devices 204 may be coupled via alternative signal routing levels provided by the circuitry portions 214 , 216 , 220 , the conductive lines 218 , and the electrically conductive vias 222 A, 222 B on the cap wafer 212 .
- non-neighboring quantum circuit devices 204 without qubit-to-qubit connections e.g., direct coupling lines on the quantum processor chip 202
- the circuitry portion 214 may be coupled to the superconducting circuit 206 using capacitive, inductive, or galvanic connections.
- the circuitry portions 214 , 216 , 220 may include planar transmission lines, for example coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line.
- a subset of the one or more electrically conductive vias 222 are electrically coupled with control lines to supply control signals to, or are coupled with other signal lines to retrieve readout signals from, the quantum circuit devices 204 of the quantum processing unit 200 .
- the control signals can be provided to the quantum processor chip 202 from a signal delivery system (e.g., the signal delivery system 106 of the quantum computing system 100 ) or the readout signals can be retrieved from the quantum circuit devices 204 to the signal delivery system.
- a subset of the one or more electrically conductive vias 222 A, 222 B may be grounded to provide ground to electrically coupled circuitry portions.
- the one or more electrically conductive vias 222 A, 222 B may include another subset that can be used for thermalization.
- the cap wafer 212 allows better heatsinking of the quantum circuit devices 204 to the refrigeration system using the one or more electrically conductive vias 222 A, 222 B as thermal paths for heat dissipation. The methods and techniques presented here can reduce losses in the quantum circuit devices 204 .
- the second surface 236 of the cap wafer 212 can be coated with a material with a low thermal emissivity, which can reduce the heat load on the quantum circuit devices 204 by reflecting infra-red thermal radiation emitted by the surrounding components.
- the ground plane on the second surface 236 of the cap wafer 212 can be coated with, or otherwise include the material with a low thermal emissivity.
- the material with a low thermal emissivity may include a thin layer of superconductive or non-superconductive metal, e.g., gold (Au), palladium (Pd), platinum (Pt), Al, and Ti.
- FIG. 3 A is a schematic diagram of an exploded view of an example quantum processing unit 300 .
- the example quantum processing unit 300 includes multiple device dies 302 (e.g., 302 A, 302 B, and 302 C) and a cap wafer 304 .
- the cap wafer 304 includes multiple recesses 310 and each of the device dies 302 includes four qubit devices 306 and two tunable-frequency coupler devices 308 .
- two neighboring qubit devices 306 are coupled together through a tunable-frequency coupler device 308 .
- the qubit device 306 can be capacitively coupled to the tunable-frequency coupler 308 through a capacitor.
- the device dies 302 and the cap wafer 304 are arranged such that recesses 310 of the cap wafer 304 , when the device dies 302 and the cap wafer 304 are bonded together, form enclosures that house the qubit devices 306 and the tunable-frequency coupler device 308 of the device dies 302 .
- the example quantum processing unit 300 may include additional and different features or components and components of the example quantum processing unit 300 may be implemented in another manner.
- the tunable-frequency coupler device 308 may be implemented as a tunable-frequency transmon qubit device.
- the tunable-frequency coupler device 308 includes two Josephson junctions connected in parallel with each other to form a circuit loop, which resides adjacent to a control line.
- the tunable-frequency coupler device 308 may also include other circuit components.
- a control line can receive control signals, for example, from an external control system (e.g., the control system 105 of FIG. 1 ).
- the control line can include, for example, a flux bias device that is configured to apply an offset magnetic field to the tunable-frequency coupler device 308 .
- the flux bias device may include an inductor that has a mutual inductance with the circuit loop of the tunable-frequency coupler device 308 .
- the control line may be located at a recessed surface of the recesses 310 on the cap wafer 304 .
- the effective coupling between the two qubit devices 306 can be controlled or actuated by tuning a magnetic field applied to the tunable-frequency coupler device 308 .
- a control signal e.g., a DC or an AC current
- the qubit device 306 may be implemented as a fixed-frequency transmon qubit device.
- a qubit device 306 may include a Josephson junction and a capacitor which are connected in parallel.
- the qubit device 306 may be implemented as a tunable-frequency qubit device.
- the qubit device 306 may include one or more tunable transmon qubit devices or tunable fluxonium qubit devices.
- the qubit device 306 may include another type of tunable-frequency qubit device.
- the transition frequency of the tunable-frequency qubit device can be controlled by a magnetic flux provided by a separate control line on the cap wafer 304 .
- the transition frequency may be controlled in another manner, for instance, by another type of control signal.
- the control line may be coupled (e.g., conductively, capacitively, or inductively) to a control port to receive control signals.
- FIG. 3 B is a schematic diagram of a perspective view of an example quantum processing unit 320 .
- the example quantum processing unit 320 includes multiple device dies 322 and a cap wafer 324 .
- the cap wafer 324 includes multiple recesses 330 and each of the device dies 322 includes eight qubit devices 332 .
- Each of the qubit devices 332 is conductively connected to a respective electrode 334 .
- a first qubit device 332 A in the device die 322 A is galvanically connected to a first electrode 334 A and a second qubit device 332 B in the device die 322 B is galvanically connected to a second electrode 334 B.
- the device dies 322 and the cap wafer 324 are arranged such that recesses 330 of the cap wafer 324 , when the device dies 322 and the cap wafer 324 are bonded together, form enclosures that house the qubit devices 332 of the device dies 322 .
- the example quantum processing unit 320 may include additional and different features or components and components of the example quantum processing unit 320 may be implemented in another manner.
- the cap wafer 324 includes multiple inter-chip coupler arrays 326 (e.g., 326 A, 326 B, and 326 C), which, when the device dies 322 and the cap wafer 324 are bonded together, are configured to provide inter-chip coupling.
- the inter-chip coupler arrays 326 may be configured as shown in FIG. 3 B or in another manner.
- Each of the inter-chip coupler arrays 326 is configured to provide coupling between qubit devices 306 on different device dies 322 . As shown in FIG.
- the inter-chip coupler array 326 A is configured to communicably couple the qubit devices 332 on the device die 322 A and on the device die 322 B;
- the inter-chip coupler array 326 B is configured to communicably couple the qubit devices 332 on the device die 322 B and on the device die 322 C;
- the inter-chip coupler array 326 C is configured to communicably couple the qubit devices 332 on the device die 322 C and on the device die 322 D.
- the inter-chip coupler array 326 may be configured to communicably couple qubit devices 332 of device dies 322 that are not adjacent to each other.
- an inter-chip coupler array 326 may include one or more inter-chip coupler devices 328 that can extend or be routed across the cap wafer 324 to provide coupling between qubit devices 332 on the device die 322 A and 322 C or 322 D.
- an inter-chip coupler device 328 may be routed on a surface of the cap wafer 324 , recessed surfaces and/or sidewalls of the recesses 330 of the cap wafer 324 .
- each of the inter-chip coupler devices 328 includes a conductive line 338 and two electrodes 336 A, 336 B.
- the device dies 322 and the cap wafer 324 are arranged such that each of the two electrodes 336 A, 336 B of the inter-chip coupler device 328 form a coupling with respective electrodes 334 of respective qubit devices 332 .
- the coupling can be capacitive through a gap separating the two respective electrodes (e.g., 334 A of the qubit device 332 A and 336 A of the inter-chip coupler device 328 ).
- the coupling can be conductive through one or more bonding bumps 340 galvanically connecting the two respective electrodes (e.g., 334 A of the qubit device 332 A and 336 A of the inter-chip coupler device 328 ).
- the coupling between the inter-chip coupler 328 and the qubit device 332 is inductive.
- the electrodes 336 of the inter-chip coupler 328 may be configured as an inductor that has a mutual inductance with a circuit loop in a qubit device 332 A of a device die 322 .
- the inter-chip coupler device 328 may be implemented as the control line 416 and the planar loop 430 of the control line 416 shown in FIGS. 4 A- 4 B or in another manner.
- FIGS. 4 A- 4 B are schematic diagrams of top view and cross-sectional view of an example quantum processing unit 400 .
- the example quantum processing unit 400 includes a quantum processor chip 402 and a cap wafer 404 .
- the cap wafer 404 includes a first surface 412 and a second surface 414 ; and the quantum processor chip 402 includes a first surface 422 and a second surface 424 .
- the first surface 412 of the cap wafer 404 and the first surface 422 of the quantum processor chip 402 face each other and are bonded together by bonding bumps 428 .
- the quantum processor chip 402 includes a quantum circuit device 408 residing on the first surface 422 .
- the cap wafer 404 includes a planar loop 430 as part of a control line 416 .
- the planar loop 430 interacts with the quantum circuit device 408 on the quantum processor chip 402 (e.g., the SQUID loop 409 of the quantum circuit device 408 ) to generate and control a local magnetic flux threading the SQUID loop 406 .
- the planar loop 430 of the control line 416 may be implemented as a single-turn loop, a multi-turn loop, or in another form.
- the control line 416 is disposed in a recess 406 , which is defined by a recessed surface 418 and sidewalls 420 .
- One end 427 of the control line 416 (as indicated by the arrow at one end of the control line 416 ) is galvanically connected to ground plane 426 on the cap wafer 404 .
- the cap wafer 404 may further include various superconducting circuitry disposed at various surfaces of the cap wafer 404 .
- the quantum processor chip 402 and the cap wafer 404 may be implemented as the quantum processor chip 202 and the cap wafer 212 in FIG. 2 .
- the example quantum processing unit 400 may include additional and different features or components and components of the example quantum processing unit 400 may be implemented in another manner.
- the methods and techniques disclosed here can reduce unpredictable, non-localized interactions between different elements of a superconducting circuit, which are caused by a propagation of superconducting currents (e.g., supercurrents) in thin films.
- Supercurrents run along edges of thin films due to the Meissner effect which can cause flux crosstalk between qubit devices at different locations. For example, when a current signal is applied on a flux bias line at a first location, a supercurrent can generate a small bias flux at a second, distinct location.
- the methods and techniques presented here can effectively sink and remove supercurrents that are circulating around quantum circuit devices, reduce unwanted flux crosstalk, and reduce the coherent error, for example in two-qubit gates of superconducting quantum computers.
- ground planes 426 on the first surface 422 of the quantum processor chip 402 and the first surface 412 of the cap wafer 404 are bonded together by the bonding bumps 428 .
- the cap wafer 404 can reduce flux crosstalk by guiding the supercurrents from the ground planes 426 on the quantum processor chip 402 to the bonding bumps 428 , which supercurrents can be collected by and dispersed at the ground plane 426 on the cap wafer 404 .
- the ground plane 426 on the cap wafer 404 along with the selective placement of the bonding bumps 428 provides an opportunity to segment the ground plane. In some instances, segments of ground planes created can be kept at an equipotential.
- the quantum circuit device 408 disposed on the first surface 422 of the quantum processor chip 402 may be implemented as the quantum circuit device 204 as shown in FIG. 2 including qubit devices, or another type of quantum circuit device.
- the quantum circuit device 408 is configured as a tunable transmon qubit device with qubit electrodes 410 and two Josephson junctions forming a Superconducting Quantum Interface Device (SQUID) loop 409 .
- the qubit electrodes 410 are configured to form a shunt capacitor in parallel with the two Josephson junctions.
- the qubit electrodes 410 of the quantum circuit device 408 may be configured to capacitively couple to other circuit components in the cap wafer 404 and the quantum processor chip 402 , for example, the planar loop 430 of the control line 416 on the cap wafer 404 and the ground plane 426 on the quantum processor chip 402 .
- the SQUID loop 409 and the qubit electrodes 410 containing superconducting materials are surrounded by the ground planes 426 on the first surface 422 of the quantum processor chip 402 .
- control line 416 on the recessed surface 418 of the recess 406 on the cap wafer 404 includes conductor metal that carries a control signal to and from the quantum circuit device 408 or other quantum circuit devices on the quantum processor chip 402 .
- the control line 416 is a planar transmission line (e.g., coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line).
- the control line 416 may be implemented as the coplanar waveguides shown in FIG. 6 C .
- control line 416 is a flux bias line.
- the planar loop 430 is inductively coupled to the SQUID loop 409 , the frequency of the quantum circuit device 408 can be tuned by applying a magnetic field 431 through the SQUID loop 409 .
- the magnetic field 431 can be generated by the flux bias line.
- the desired mutual inductance can be achieved by adjusting the distance between the flux bias line and the SQUID loop 409 .
- the distance between the flux bias line and the SQUID loop 409 is defined by the depth of the recess 406 and the height of the bonding bumps 428 .
- the distance is in a range of 10-20 ⁇ m, or may be in another range.
- the value of the mutual inductance is in a range of 400-800 femto Henry (fH), or in another range.
- the control line 416 is a microwave line.
- the control line 416 is capacitively coupled to the quantum circuit device 408 on the quantum processor chip 402 , for example through the qubit electrodes 410 .
- the capacitive coupling between the quantum circuit device 408 and the control line 416 can be set by the relative positions and distance of the cap wafer 404 and the quantum processor chip 402 .
- the state of the quantum circuit device 408 can be manipulated by sending microwave pulses along the control line 416 .
- the distance between the control line 416 and the quantum circuit device 408 is equal to or greater than a threshold distance, e.g., around 50-200 ⁇ m.
- the capacitive coupling is in a range of 0.1-0.5 femto Farad (fF), or in another range.
- the control line 416 which is capacitively and inductively coupled to the quantum circuit device 408 can simultaneously serve as a flux bias line and a microwave line.
- the control signal on the control line 416 can include a low-frequency component (e.g., typically with a highest frequency value up to ⁇ 500 MHz or a different value) and a high-frequency component at or near the qubit frequency (e.g., typically about 4 GHz or a different value).
- the low-frequency component in the planar loop 430 generates a local magnetic field that interacts with the SQUID loop 409 of the quantum circuit device 408 and tunes the frequency of the quantum circuit device 408 .
- the low-frequency component of the current bias is a flux bias signal.
- the high-frequency component interacts capacitively with the qubit electrodes 410 of the quantum circuit device 408 and causes the wavefunction in the qubit to change in a controlled fashion.
- the high-frequency component of the current bias is a microwave drive signal.
- the methods and devices presented here can allow independent tuning of both the capacitive and magnetic coupling, both of which have to be correctly targeted to get correct operation.
- the ability to tune both capacitive and magnetic coupling independently allows combined flux bias and microwave lines to be integrated into the cap wafer 404 .
- the capacitive coupling is significantly reduced since the planar loop 430 of the control line 416 to the quantum circuit device 408 are separated by vacuum with a lower permittivity relative to that of a substrate of the quantum processor chip 402 (e.g., a silicon substrate).
- FIG. 5 is a schematic diagram of a top view of an example cap wafer 500 .
- the example cap wafer 500 includes multiple planar resonators 504 coupled to a feedline 502 .
- the multiple planar resonators 504 and the feedline 502 have a coplanar waveguide structure, which includes a central conductive line and a ground plane.
- the feedline 502 and the planar resonators 504 may include another type of planar transmission line, for example, a microstrip transmission line or a substrate integrated waveguide.
- Each of the planar resonators 504 is inductively coupled to the central conductive line of the feedline 502 .
- the feedline 502 allows multiplexing the multiple planar resonators 504 on the cap wafer 500 .
- the cap wafer 500 may include additional and different features or components and components of the example cap wafer 500 may be implemented in another manner.
- each of the planar resonators 504 and the feedline 502 resides on recessed surfaces 506 of respective recesses 508 of a substrate.
- the planar resonators 504 and the feedline 502 on the recessed surface 506 may be implemented as part of the circuitry portion 216 on the recessed surface 238 of the cap wafer 212 shown in FIG. 2 or in another manner.
- the planar resonators 504 and the feedline 502 are superconducting microwave devices operating in the microwave frequency domain in a cryogenic environment.
- the feedline 502 and the planar resonators 504 may be used as a readout resonator for receiving a readout signal from a qubit device on a quantum processor chip.
- the feedline 502 includes two ports 510 A, 510 B.
- a readout signal can be received on the port 510 A and an output signal can be obtained at the port 510 B.
- the central conductive lines of the planar resonators 504 are shaped in a meander-like structure.
- Each of the planar resonators 504 is inductively coupled to the feedline 502 via a respective arm 512 which is adjacent and parallel to the central conductive line of the feedline 502 .
- Each of the planar resonators 504 includes parallel segments forming intra-line capacitors.
- the recesses 508 may be implemented as the recesses 232 shown in FIG. 2 and formed by performing the operations 802 , 804 , and 806 in the example process 800 shown in FIG. 8 or in another manner.
- the central conductive line and the ground planes of the feedline 502 and the planar resonators 504 include superconductive materials.
- the feedline 502 and the planar resonator 504 may be formed on the recessed surfaces 506 as part of the second circuitry portion 842 B by performing the operations 808 , 810 , and 812 of the example process 800 shown in FIG. 8 .
- the feedline 502 and the planar resonators 504 may be formed in another manner.
- the internal resonator property of each of the planar resonators 504 are determined by physical parameters of the planar resonators 504 .
- the central conductive lines of the planar resonators 504 may have different physical dimensions, e.g., total length, width, thickness and number of turns of the central conductive lines of the planar resonators 504 , length of parallel segments of the planar resonators 504 , distance between the central conductive line and the ground plane, length of the arm 512 for inductively coupling with the feedline, dielectric properties of the substrate, and depth of the recesses 508 .
- each of the planar resonators 504 can be designed and optimized individually with different internal resonator properties.
- the external quality factor depends on characteristics of the planar resonator 504 , the coupling strength between the planar resonator 504 and the feedline 502 , and impedance of the two ports 510 A, 510 B.
- FIG. 6 A is a schematic diagram of a cross-sectional view of an example quantum processing unit 600 .
- the example quantum processing unit 600 includes a quantum processor chip 602 and a cap wafer 604 .
- the cap wafer 604 includes a first surface 612 and a second surface 614 .
- the quantum processor chip 602 and the cap wafer 604 are bonded together using bonding bumps 606 A, 606 B.
- the cap wafer 604 shown in FIG. 6 A further includes a recess 616 , which is defined by a recessed surface 618 and sidewalls 620 .
- the cap wafer 604 may include circuitry portions on the first, second surfaces 612 , 614 and the recessed surface 618 providing different functionalities.
- the first and second surfaces 612 , 614 of the cap wafer 604 may be implemented as the first and second surfaces 234 , 236 of the cap wafer 212 shown in FIG. 2 or in another manner.
- the first surface 612 includes circuitry portions 621 A, 621 B; and the second surface 614 includes circuitry portions 624 A, 624 B and 628 .
- the circuitry portion 626 that resides on the cap wafer 614 covers a portion of the first surface 612 , the recessed surface 618 , and the sidewalls 620 .
- the circuitry portions on different surfaces can be electrically connected and routed to feed control signals to, or transfer readout signals from, the quantum processor chip 602 .
- the circuitry portions 624 A, 624 B on the second surface 614 of the cap wafer 604 are electrically coupled to the circuitry portions 621 A and 621 B on the first surface 612 of the cap wafer 604 through respective conductive vias 622 - 1 A, 622 - 2 A.
- the circuitry portions 621 A, 621 B on the first surface 612 are electrically coupled to a superconducting circuit 630 on a surface of the quantum processor chip 602 using respective bonding bumps 606 A, 606 B.
- the circuitry portion 628 on the second surface 614 of the cap wafer 604 is electrically coupled to the circuitry portion 626 through the conductive vias 622 B.
- the circuitry portions 628 and 626 can be grounded.
- the conductive vias 622 - 1 A and 622 - 2 A may be implemented as the conductive vias 222 A shown in FIG. 2 or in another manner.
- the conductive vias 622 B may be implemented as the conductive vias 222 B shown in FIG. 2 or in another manner.
- the bonding bumps 606 A, 606 B may be implemented as the bonding bumps 224 shown in FIG. 2 or in another manner.
- the circuitry portion 624 A on the second surface 614 of the cap wafer 604 may receive control signals from a control system (e.g., the control system 105 of the computing system 101 shown in FIG. 1 ).
- the control signal can be then directed across the conductive via 622 - 1 A to the circuitry portion 621 A on the first surface 612 .
- the control signal can be then directed to the superconducting circuit 630 on the quantum processor chip 602 through the bonding bump 606 A.
- a readout signal from the superconducting circuit 630 on the quantum processor chip 602 can be directed to the circuitry portion 621 B on the first surface 612 of the cap wafer 604 using the bonding bump 606 B.
- the readout signal can be then directed across the conductive via 622 - 2 A to the circuitry portion 624 B on the second surface 614 and eventually received by the control system.
- FIG. 6 B is a schematic diagram of a cross-sectional view of an example quantum processing unit 630 .
- the example quantum processing unit 630 includes a quantum processor chip 632 and a cap wafer 634 .
- the quantum processor chip 632 and the cap wafer 634 may be implemented as the device and cap wafers 202 , 204 shown in FIG. 2 or in another manner.
- the quantum processor chip 632 and the cap wafer 634 are bonded together using bonding bumps 654 .
- the quantum processor chip 632 includes four quantum circuit devices 642 A, 642 B, 642 C and 642 D disposed on the surface of the quantum processor chip 632 .
- Each of the quantum circuit devices 642 A, 642 B, 642 C and 642 D may be electrically coupled to a respective portion of a superconducting circuit 644 A, 644 B, 644 C or 644 D.
- a first quantum circuit device 642 A is electrically coupled to a first portion of a superconducting circuit 644 A; a second quantum circuit device 642 B is electrically coupled to a second portion of a superconducting circuit 644 B; a third quantum circuit device 642 C is electrically coupled to a third portion of a superconducting circuit 644 C; and a fourth quantum circuit device 642 D is electrically coupled to a fourth portion of a superconducting circuit 644 D.
- the quantum circuit devices 642 and the superconducting circuit 644 may be implemented as the quantum circuit device 204 and the superconducting circuit 206 shown in FIG. 2 or in another manner.
- the cap wafer 634 includes a first surface 636 and a second surface 638 .
- the cap wafer 634 includes four recesses 650 A, 650 B, 650 C and 650 D.
- each of the four recesses 650 A, 650 B, 650 C and 650 D can be implemented as the recess 232 shown in FIG. 2 or in another manner.
- quantum processing unit 642 A, 642 B, 642 C and 642 D each of the four recesses 650 A, 650 B, 650 C and 650 D on the cap wafer 634 encloses a respective quantum circuit device 642 A, 642 B, 642 C or 642 D on the quantum processor chip 632 .
- a first recess 650 A is defined by a first recessed surface 640 A and sidewalls 646 A; and a second recess 650 B is defined by a second recessed surface 640 B and sidewalls 646 B.
- the first recessed surface 640 A resides at a first depth in the cap wafer 634 relative to the first surface 636 and the second recessed surface 640 B resides at a second depth in the cap wafer 634 relative to the first surface 636 .
- the first depth is greater than the second depth.
- the first and second depths may have another relationship.
- the cap wafer 634 includes circuitry portions on its first, second, and recessed surfaces 636 , 638 and 640 .
- the cap wafer 634 includes a first circuitry portion 658 disposed on the first surface 636 , a second circuitry portion 660 disposed on the second surface 638 , a third circuitry portion 656 A on the first recessed surface 640 A, and a fourth circuitry portion 656 B on the second recessed surface 640 B.
- the first and second circuitry portions 658 , 660 may be implemented as the circuitry portion 214 and 220 shown in FIG. 2 , or in another manner.
- the circuitry portions disposed at different surfaces of the cap wafer 634 may be galvanically coupled through conductive vias 652 or conductive lines 648 on the sidewalls 646 of the recesses 650 .
- the conductive vias 652 and the conductive lines 648 may be implemented as the respective components 218 and 222 shown in FIG. 2 or in another manner.
- the third circuitry portion 656 A is routed from the first recessed surface 640 A through the conductive lines 648 across at least a portion of the sidewalls 646 A to the first surface 636 , which is galvanically coupled to the first quantum circuit device 642 A via the bonding bump 654 and the superconducting circuit 644 A.
- the third circuitry portion 656 A is electrically coupled to the second circuitry portion 660 through a first conductive via 652 A.
- the fourth circuitry portion 656 B is electrically coupled to the second circuitry portion 660 through a second conductive via 652 B.
- the first conductive via 652 A extends from the first recessed surface 640 A to the second surface 638 of the cap wafer 634 ; and the second conductive via 652 B extends from the second recessed surface 640 B to the second surface 638 of the cap wafer 634 .
- the fourth circuitry portion 656 B at the second recessed surface 640 B of the second recess 650 B may be capacitively coupled to the second quantum circuit device 642 B.
- the capacitive coupling between the second quantum circuit device 642 B and the fourth circuitry portion 656 B is determined by the distance between the quantum circuit device 642 B and the fourth circuitry portion 656 B. In some instances, the distance is determined by the height of the bonding bump 654 and the second depth of the second recess 650 B.
- the first and second quantum circuit devices 642 A, 642 B which are not directly coupled, may be coupled together through the first portion of the superconducting circuit 644 A, the bonding bump 654 , the conductive line 648 on the sidewalls 646 A, the third circuitry portion 656 A, the conductive via 652 A, the second circuitry portion 660 , the conductive via 652 B, and the fourth circuitry portion 656 B.
- the first and second quantum circuit devices 642 A, 642 B may be coupled in another manner.
- the first circuitry portion 658 on the first surface 636 are capacitively coupled to the superconducting circuit 644 on the quantum processor chip 632 .
- each of the third and fourth portions 644 C and 644 D of the superconducting circuit are capacitively coupled to the first circuitry portion 658 on the first surface 636 of the cap wafer 634 .
- the third and fourth quantum circuit device 642 C and 642 D are coupled through the third portion 644 C of the superconducting circuit, the first circuitry portion 658 on the first surface 636 of the cap wafer 634 , and the fourth portion 644 D of the superconducting circuit.
- the systems and methods presented here can be used to provide alternative pathways to couple non-neighboring quantum circuit devices 642 on the quantum processor chip 632 .
- FIG. 6 C is a schematic diagram of an exploded view of an example quantum processing unit 670 .
- the example quantum processing unit 670 includes a quantum processor chip 672 and a cap wafer 674 .
- Each of the quantum processor chip 672 and the cap wafer 674 includes a coplanar waveguide.
- the coplanar waveguide includes a central conductive line and ground planes.
- the coplanar waveguide on the quantum processor chip 672 includes a central conductive line 680 A and ground planes 682 A; and the coplanar waveguide on the cap wafer 674 includes a central conductive line 680 B and ground planes 682 B.
- each of the quantum processor chip 672 and the cap wafer 674 includes a dielectric substrate with a high permittivity.
- the dielectric substrate may be implemented as the substrate 822 shown in FIG. 8 or in another manner.
- the dielectric substrate may be a silicon substrate with a relative permittivity of 11.68.
- the coplanar waveguides on the quantum processor chip 672 and the cap wafer 674 extend along the XY plane perpendicular to each other. In some instances, the coplanar waveguides may be arranged in another manner.
- the ground planes 682 A, 682 B are galvanically connected using bonding bumps 684 .
- the central conductive lines 680 A, 680 B are separated by a gap 676 and the thickness of the gap is defined by the height of the bonding bumps 684 or any other additional etched structure in the quantum processor chip 672 and the cap wafer 674 .
- the gap 676 is filled with a low-permittivity material during operation of the quantum processing unit, e.g., vacuum with a relative permittivity of 1, or another type of insulating material with a low permittivity to reduce the coupling (e.g., cross-talk) between the two coplanar waveguides.
- the coupling between the two coplanar waveguides can be further controlled by controlling the gap separating the two coplanar waveguides.
- the coplanar waveguide on the cap wafer 674 may reside on a recessed surface in a recess.
- FIG. 7 A are schematic diagrams of a perspective view and a cross-sectional view of an example cap wafer 700 .
- the example cap wafer 700 includes two electrodes 702 A, 702 B, a ground plane 704 , and recesses 712 , which are formed on a substrate 718 .
- the recesses 712 are defined by recessed surfaces 710 and sidewalls 709 .
- the recesses 712 on the substrate 718 may be implemented as the recesses 232 on the substrate 212 shown in FIG. 2 or in another manner.
- the two electrodes 702 A, 702 B reside on two respective pedestals 706 defined by the surrounding recesses 712 .
- each of the two electrodes 702 A, 702 B includes a first portion covering at least a portion of the top surface 708 of the substrate 718 , a second portion covering at least a portion of the sidewalls 709 of the recesses 712 around the pedestal 706 , and a third portion covering at least a portion of the recessed surfaces 710 of the recesses 712 surrounding the pedestal 706 .
- each of the electrodes 702 A, 702 B is disposed on the substrate 718 covering the entire top surface 708 of the pedestal 706 , and the entire sidewalls 709 of the surrounding recesses 712 .
- the two electrodes 702 A, 702 B are galvanically connected together via a connection 716 forming a continuous, conductive pathway between the two electrodes 702 A, 702 B.
- the connection 716 between the two electrodes 702 A, 702 B resides on the recessed surface 710 between the two pedestals 706 .
- the two electrodes 702 A, 702 B are surrounded by a continuous ground plane 704 .
- the ground plane 704 resides on the substrate 718 covering at least a portion of the recessed surface 710 , the top surface 708 , and the sidewalls 709 .
- the two electrodes 702 A, 702 B may be implemented as the circuitry portions on the cap wafer 212 as shown in FIG. 2 , or in another manner.
- the two coupling electrodes 702 A, 702 B, the pedestals 706 , and the recesses 710 may be fabricated according to the example process 800 shown in FIG. 8 or in another manner.
- FIG. 7 B are schematic diagrams of a perspective view and a cross-sectional view of an example quantum processor chip 720 .
- the example quantum processor chip 720 includes two electrodes 722 A, 722 B on a substrate 730 . As shown in FIG. 7 B , the two electrodes 722 A, 722 B may be connected to two respective quantum circuit devices (e.g., the quantum circuit device 204 in FIG. 2 ) via respective connections 726 A, 726 B. In some instances, the two electrodes 722 A, 722 B and the respective connections 726 A, 726 B may be implemented as the third and fourth portions 644 C and 644 D of the superconducting circuit as shown in FIG. 6 B . The two respective quantum circuit devices are not directly connected or coupled through a coupling line on the quantum processor chip 720 . In some implementations, the example quantum processor chip 720 may include another circuit component.
- the techniques disclosed here enable additional signal routing pathways.
- the quantum processor chip 720 includes a coplanar waveguide with a central conductive stripe 728 extending along the y-axis between two ground planes 724 A, 724 B.
- the coplanar waveguide separating the two electrodes 722 A, 722 B and thus the two respective quantum circuit devices on the quantum processor chip 720 may be used, for example, propagating coherent signals between other quantum circuit devices (e.g., tunable-frequency coupler device, qubit devices) or other circuit components on the quantum processor chip 720 .
- FIG. 7 C are schematic diagrams of a perspective view and cross-sectional views of an example quantum processing unit 740 .
- the example quantum processing unit 740 includes the example quantum processor chip 720 shown in FIG. 7 B and the example cap wafer 700 shown in FIG. 7 A .
- the example quantum processing unit 740 includes two pedestal couplers 734 A, 734 B.
- each of the two pedestal couplers 734 A, 734 B includes a parallel-plate capacitor with one plate on the example cap wafer 700 and the opposite plate on the example quantum processor chip 720 . As shown in FIGS.
- the example cap wafer 700 and the example quantum processor chip 720 are bonded so that the two electrodes 722 A, 722 B on the quantum processor chip 720 and the two electrodes 702 A, 702 B on a cap wafer 700 are aligned with respect to each other.
- the electrodes 702 A and 722 A form a first pedestal coupler 734 A; and the electrodes 702 B and 722 B form a second pedestal coupler 734 B.
- the two pedestal couplers 734 A, 734 B are connected in series by the connection 716 on the cap wafer 700 .
- bonding bumps 732 provide a galvanic connection between the ground planes 724 A, 724 B on the example quantum processor chip 720 and the ground plane 704 on the cap wafer 700 forming a continuous and uniform ground throughout both the cap wafer 700 and the quantum processor chip 720 .
- the areas of the first portion of the electrodes 702 A, 702 B on the cap wafer 700 and the electrodes 722 A, 722 B on the quantum processor chip 720 , and the height of the bonding bumps 732 can be designed and optimized to maximize capacitance and thus the capacitive coupling.
- the third portion of the coupling electrodes 702 A, 702 B on the recessed surface 710 and the depth of the recesses 712 can be also designed and optimized to minimize crosstalk and coupling. The methods and techniques presented here can reduce or eliminate needs for the capability to pattern across sidewalls of recesses.
- the recess 712 on the cap wafer 700 include trenches, each of which is defined by a recessed trench surface and trench sidewalls.
- the recessed trench surface resides at a depth relative to the first surface 708 in the cap wafer 700 .
- the trenches form enclosures that house the coplanar waveguide on the quantum processor chip 720 .
- FIG. 8 is a flow chart showing aspects of an example fabrication process 800 .
- the example process 800 may be used for fabricating a cap wafer with various superconducting circuitry at various positions, for example, the circuitry portion 214 , 216 , 218 , 220 , 222 , 224 and another component in the cap wafer 212 .
- the example process 800 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in the example process 800 can be combined, iterated or otherwise repeated, or performed in another manner.
- a substrate 822 is prepared.
- the substrate 822 is a float-zone, undoped, single-crystal silicon wafer with a high-resistivity.
- the substrate 822 has a thickness of 320 ⁇ m, 670 ⁇ m, or another thickness.
- a top surface 830 of the substrate 822 may be cleaned to remove the native oxide.
- the substrate 822 can be cleaned using a HF etching process and rinsed with deionized (DI) water.
- DI deionized
- cleaning of the top surface 830 of the substrate 822 is performed to remove contaminants including organic contaminants and another type of contaminants.
- the substrate 822 may be implemented as the second substrate 213 in FIG. 2 or in another manner.
- a first photoresist layer 824 is patterned.
- the first photoresist layer 824 may include a negative or positive tone photoresist layer that is patternable in response to a photolithography light source.
- the first photoresist layer 824 may include an e-beam (electron beam) resist layer (e.g., poly methyl methacrylate, methyl methacrylate, or another e-beam resist material) that is patternable in response to an e-beam lithography energy source.
- e-beam electron beam
- the first photoresist layer 824 is formed directly on the top surface 830 of the substrate 822 using a deposition process such as spin-coating, spray-coating, dip-coating, roller-coating, or another deposition method. After deposition, the first photoresist layer 824 is then patterned using a lithography process that may involve various exposure, developing, baking, stripping, etching, and rinsing processes. As a result, the first photoresist layer 824 is patterned such that openings 826 in the first photoresist layer 824 expose at least a portion of the top surface 830 of the substrate 822 .
- a deposition process such as spin-coating, spray-coating, dip-coating, roller-coating, or another deposition method.
- the first photoresist layer 824 is then patterned using a lithography process that may involve various exposure, developing, baking, stripping, etching, and rinsing processes. As a result, the first photoresist layer 824
- positions of the openings 826 are determined according to the positions and arrangement of quantum circuit devices in one or more quantum processor chips (e.g., the quantum circuit devices 204 in the quantum processor chip 202 shown in FIG. 2 ) such that the recesses form respective enclosures that house the quantum circuit devices in the quantum processor chip.
- the first photoresist layer 824 has a thickness of 7 ⁇ m, or another thickness.
- recesses 828 are formed in the substrate 822 .
- the recesses 828 are formed by performing an etching process in the substrate 822 at the openings 826 using the first photoresist layer 824 as a mask.
- recessed surfaces 831 are created at the bottom of the recesses 828 in the body of the substrate 822 .
- Each of the recessed surfaces 831 resides at a depth of a few micrometers to a few tens of micrometers relative to the top surface 830 of the substrate 822 .
- the recesses 828 have a uniform depth of 24 ⁇ 1.5 ⁇ m or another depth.
- the recesses 828 are further defined by sidewalls 832 , which can be perpendicular to the recessed surfaces 831 or slopped with respect to the recessed surface 831 .
- the recesses 828 may be implemented as the recesses 232 shown in FIG. 2 , the recesses 406 in FIGS. 4 A- 4 B , and the recesses 616 , 650 A, 650 B, 650 C, 650 D as shown in FIGS. 6 A- 6 B .
- the recesses 828 may be formed using a dry etching method, for example, a Deep Reactive Ion Etching (DRIE) process, a cryogenic etching process, a gas-phase etching process, or another type of etching process.
- DRIE Deep Reactive Ion Etching
- the first patterned photoresist layer 824 may be removed.
- the first photoresist layer 824 may be removed by one or more chemical cleaning processes using acetone, 1-Methyl-2-pyrrolidon (NMP), Dimethyl sulfoxide (DMSO), or other suitable removing chemicals.
- NMP 1-Methyl-2-pyrrolidon
- DMSO Dimethyl sulfoxide
- the chemicals used may need to be heated to temperatures higher than room temperature to effectively dissolve the first photoresist layer 824 .
- the selection of the remover is determined by the type and chemical structure of the first photoresist layer 824 , and the substrate 822 to assure the chemical compatibility of the substrate 822 with the chemical cleaning process. In some implementations, this chemical cleaning process is then followed by a rinsing process using isopropyl alcohol or another chemical, and then using DI water.
- a conductive layer 834 is deposited.
- the conductive layer 834 may include superconducting metals, superconducting metal alloys, or superconducting compound materials.
- the conductive layer 834 may include multilayer superconductor-insulator heterostructures, stacks of superconducting layers, or another structure.
- an interfacial silicide layer is formed between the conductive layer 834 and the substrate 822 during the deposition of the conductive layer 834 due to an interfacial reaction.
- the conductive layer 834 may be deposited on the top surface 830 , the recessed surfaces 831 , and the sidewalls 832 .
- the conductive layer 834 includes a stack of conductive materials, e.g., Nb/TiW/Nb/MoRe having a total thickness of about 560 nanometers (nm).
- the first conductive layer 834 may be deposited using a Chemical Vapor Deposition (CVD), Physical Vapor Deposition (PVD), or another deposition method.
- CVD Chemical Vapor Deposition
- PVD Physical Vapor Deposition
- a second photoresist layer 836 is patterned.
- the second photoresist layer 836 is patterned on the top surface 830 and the recessed surfaces 831 of the substrate 822 .
- a first portion of the second photoresist layer 836 with openings 838 may be formed on the top surface 830 of the substrate 822 under a first exposure setting and a second portion of the second photoresist layer 836 with openings 840 is formed on the recessed surfaces 831 of the substrate 822 under a second, distinct exposure setting (e.g., a different exposure time, different intensity of the light source, or a different wavelength of the light source).
- the second photoresist layer 836 is deposited and patterned with respect to the operation 804 described above.
- the second photoresist layer 836 has a thickness of about 14 ⁇ m or another thickness.
- circuitry portions 842 A, 842 B are formed.
- a first circuitry portion 842 A is formed on the top surface 830 of the substrate 822 corresponding to the openings 838 in the first portion of the second photoresist layer 836 .
- a second circuitry portion 842 B is formed on the recessed surfaces 831 of the substrate 822 corresponding to the openings 840 in the second portion of the second photoresist layer 836 .
- the circuitry 842 A, 842 B are formed by performing an etching process to remove the conductive layer 834 exposed at the openings 838 , 840 without over-etching the substrate 822 .
- the first circuitry portion 842 A may be implemented as the circuitry portion 214 in FIG. 2 , the ground plane 426 in FIGS. 4 A- 4 B , the circuitry portion 621 A, 621 B in FIG. 6 A, 660 in FIG. 6 B , or the coplanar waveguide 680 B/ 682 B in FIG. 6 C .
- the second circuitry portion 842 B may be implemented as the circuitry portion 216 in FIG. 2 , the control line 416 or the planar loop 430 of the control line 416 in FIGS. 4 A- 4 B , the planar resonators 504 A- 504 G in FIG. 5 , the circuitry portion 626 on the recessed surface 618 in FIG. 6 A , and the circuitry portion 656 A/ 656 B in FIG. 6 B .
- a third photoresist layer 844 is patterned. As shown in FIG. 8 , the third photoresist layer 844 after patterning includes openings 846 at the top surface 830 of the substrate 822 . In some examples, the third photoresist layer 844 may have a thickness of 18 ⁇ m or another thickness. In some implementations, the third photoresist layer 844 is deposited and patterned with respect to the operation 804 described above.
- bonding bumps 848 are formed. As shown in FIG. 8 , the bonding pumps 848 are formed on the top surface 830 of the substrate 822 corresponding to the openings 846 in the third photoresist layer 844 . In some instances, the bonding bumps 848 are formed by depositing a metallization layer on the substrate 822 with the patterned third photoresist layer 844 . In some instances, the metallization layer may include indium (In) and another conductive material. In some instances, the metallization layer may have a thickness in a range of 6-7 micrometers ( ⁇ m). In some implementations, the metallization layer can be deposited using PVD, CVD, electrodeposition, or another method.
- the third photoresist layer 844 can be removed with respect to the operation 806 .
- the height of the bonding bumps 848 after bonding the cap wafer with a quantum processor chip can be less than the thickness of the metallization layer from deposition.
- a bonding process with a bonding force of a few tens of newton (N) per square millimeter (mm 2 ) can cause a compression to the bonding bumps which defines the gap separating the two respective surfaces of the quantum processor chip and the cap wafer.
- a bonding force is selected to cause a compression of more than 40% the total height of the bonding bumps, resulting the gap in a range of ⁇ 3 ⁇ m, or in another range.
- a modular quantum processing unit includes a first number of quantum processor chips and a second number of cap wafers. The first number may be the same as or different from the second number.
- Each of the quantum processor chips includes superconducting quantum circuit devices and superconducting circuitry forming a superconducting quantum integrated circuit (QuIC).
- a cap wafer of the modular quantum processing unit includes inter-module coupler devices, which are configured to bond different quantum processor chips together and to provide inter-module coupling between quantum circuit devices from different quantum processor chips.
- inter-module coupler devices in the cap wafer to interconnect quantum processor chips can provide technical advantages and improvements over other techniques.
- the methods and techniques presented here may allow dense packing of quantum circuit devices on chips and hence compact structures in quantum computing architectures.
- inter-module coupler devices reside on a substrate or on inter-module coupler chips.
- the methods and techniques described here using multichip modular designs can also be used to improve performance of other superconducting radio frequency electronics modules. In some cases, a combination of these and potentially other advantages and improvements may be obtained.
- This method can facilitate the scaling of the quantum processing unit. The method can provide greater capital efficiency, e.g., higher certainty of using good chips for cooldowns in large dilution refrigerators. The methods and techniques presented here can reduce wafer usage for producing large QPUs than if either the quantum processor chip or cap wafer is monolithic.
- FIG. 9 A is a flow chart showing aspects of an example fabrication process 900 of assembling a modular quantum processing unit with a single cap wafer for multiple quantum processor chips.
- the example process 900 is used to assemble a modular quantum processing unit 910 .
- a cap wafer 904 and a multiplicity of quantum processor chips 902 are provided.
- the cap wafer 904 may be implemented as the example cap wafer 212 , 304 , 324 , 404 , 500 , 604 , 634 , 674 , or 718 ; and the quantum processor chips 902 may be implemented as the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , or 730 as shown in FIGS. 2 , 3 A- 3 B, 4 A- 4 B, 5 , 6 A- 6 C , or 7 A- 7 C.
- one quantum processor chip 902 is bonded at a time to the cap wafer 904 .
- each of the quantum processor chips 902 are characterized in a characterization process and selected according to results of the characterization process.
- all the selected quantum processor chips 902 are bonded to the cap wafer 904 to form the modular quantum processing unit 910 .
- FIG. 9 B is a schematic diagram showing aspects of the example modular quantum processing unit 910 assembled according to the example process 900 in FIG. 9 A .
- the example modular quantum processor unit 910 as shown in FIGS. 9 A- 9 B includes multiple quantum processor chips 902 bonded to a common cap wafer 904 .
- the cap wafer 904 includes inter-chip coupler devices 906 that are configured to provide inter-chip coupling between quantum processor chips 902 .
- the example modular quantum processing unit 910 includes 16 quantum processor chips 902 .
- Each of the quantum processor chips 902 are bonded to a cap wafer 904 so that certain quantum circuit devices on the quantum processor chips 902 can be interconnected by inter-chip coupler devices 906 on the cap wafer 904 .
- Each of the quantum processor chips 902 includes a superconducting quantum integrated circuit (QuIC).
- the superconducting QuIC can include quantum circuit devices, for example, qubit devices 912 (e.g., transmon devices, fluxonium devices, or other types of superconducting qubit devices), coupler devices 914 (e.g., capacitive coupler device, tunable-frequency coupler device, or others), readout devices, or other types of quantum circuit devices that are used for quantum information processing in the modular quantum processing unit 910 .
- the superconducting QuIC of each of the quantum processor chips 902 may include one or more Josephson junctions, capacitors, inductors, and other types of circuit elements.
- the example modular quantum processing unit 910 may include additional and different features or components, and components of the example modular quantum processing unit 910 may be implemented in another manner.
- each of the quantum processor chips 902 includes a module integration plate.
- the substrate supports the superconducting QuIC of the quantum processor chip 902 .
- the cap wafer 904 includes a substrate which supports the inter-chip coupler devices 906 and other superconducting circuit elements of the cap wafer 904 (e.g., through-silicon vias, control lines, etc.).
- the example modular quantum processing unit 910 may include more than two quantum processor chips 902 on multiple dies/substrates bonded to the cap wafer 904 .
- the substrates of the quantum processor chips 902 and the cap wafer 904 may include a dielectric substrate (e.g., silicon, sapphire, etc.).
- the substrates may include an elemental semiconductor material such as, for example, silicon (Si), germanium (Ge), selenium (Se), tellurium (Te), or another elemental semiconductor.
- the substrates may also include a compound semiconductor such as silicon germanium (SiGe), silicon carbide (SiC), silicon germanium carbide (SiGeC), aluminum oxide (sapphire), gallium arsenide (GaAs), indium arsenide (InAs), indium phosphide (InP), gallium arsenic phosphide (GaAsP), or gallium indium phosphide (GaInP).
- the substrates may also include a superlattice with elemental or compound semiconductor layers.
- the substrates include an epitaxial layer.
- the substrates may have an epitaxial layer overlying a bulk semiconductor or may include a semiconductor-on-insulator (SOI) structure.
- SOI semiconductor-on-insulator
- the substrates may comprise low dielectric constant materials, such as silicon oxides including fused silica and crystalline quartz.
- the superconducting QuIC on each of the quantum processor chips 902 and the superconducting circuitry on the cap wafer 904 include superconducting materials.
- the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example modular quantum processing unit 910 , or another superconducting metal.
- the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy.
- the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material.
- the superconducting materials may include multilayer superconductor-insulator heterostructures.
- the superconducting QuIC on each of the quantum processor chips 902 and the superconducting circuitry on the cap wafer 904 can be formed on surfaces of the substrates and patterned using a microfabrication process or in another manner.
- the superconducting QuIC on each of the quantum processor chips 902 and the superconducting circuitry (including the inter-chip coupler devices 906 ) on the cap wafer 904 may be formed by performing at least some of the following fabrication processes: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), and/or other suitable techniques to deposit respective superconducting layers on the substrates; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.) to form openings in the respective superconducting layers.
- CVD chemical vapor deposition
- PVD physical vapor deposition
- ALD atomic layer deposition
- patterning processes e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.
- the qubit devices 912 in the superconducting QuIC of the quantum processor chips 902 may be arranged in a rectilinear (e.g., rectangular, or square) array that extends in two spatial dimensions (e.g., in the plane of the page).
- the qubit devices 912 can be arranged in another type of ordered array.
- the rectilinear array of quantum processor chips also extends in a third spatial dimension (e.g., in/out of the page), for example, to form a cubic array or another type of three-dimensional array.
- Each of the quantum processor chips 902 of the example modular quantum processing unit 910 includes one or more qubit devices 912 .
- the qubit frequency of a qubit device is not tunable by application of an offset field and is independent of magnetic flux experienced by the qubit device.
- a fixed-frequency qubit device may have a fixed qubit frequency that is defined by an electronic circuit of the qubit device.
- a superconducting fixed-frequency qubit device e.g., a fixed-frequency transmon qubit device
- SQUID Superconducting Quantum Interface Device
- the qubit frequency of a qubit device 912 in a superconducting QuIC of a quantum processor chip 902 is tunable, for example, by application of an offset field.
- a superconducting tunable-frequency qubit device may include a superconducting loop (e.g., a SQUID loop), which can receive a magnetic flux that tunes the qubit frequency of the tunable-frequency qubit device.
- the cap wafer 904 of the quantum process modules 902 may include flux bias control lines 926 for tuning the magnetic flux through the SQUID loops of the qubit devices 912 .
- the superconducting QuIC of the quantum process modules 902 includes drive signal lines that are configured to communicate microwave control signals to the qubit devices 912 .
- the superconducting QuIC of the quantum processor chips 902 may include additional devices, including additional qubit devices, readout resonators, or other quantum circuit devices.
- the coupler devices 914 in the quantum processor chips may include tunable-frequency coupler devices.
- a tunable-frequency coupler device 914 resides between two neighboring qubit devices 912 and controls the interaction between the two qubit devices 912 .
- Each of the tunable-frequency coupler devices 914 may be implemented as a tunable-frequency transmon qubit device or another type of tunable-frequency qubit device.
- the control lines include coupler flux control lines that can communicate control signals to the tunable-frequency coupler device and tune the flux bias in order to tune the operating frequency of the tunable-frequency coupler devices and thus the coupling between two qubit devices 912 .
- a control signal can be a direct current (DC) signal communicated, for example, from the control system to the individual tunable-frequency coupler device on a quantum processor chip 902 .
- a control signal can be an alternating current (AC) signal communicated to the individual tunable-frequency coupler device.
- the AC signal may be superposed with a direct current (DC) signal.
- DC direct current
- the inter-chip coupler device 906 is configured to provide inter-chip coupling between quantum circuit devices on distinct quantum processor chips 902 .
- each of the inter-chip coupler devices 906 includes a planar microwave transmission line, for example coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line structure. Connections between the inter-chip coupler device 906 and quantum circuit devices can be galvanic, for example through superconductive contacts (e.g., indium bumps and contact electrodes) or capacitive through parallel capacitor electrodes. Thus, the inter-chip coupler devices 906 are galvanically or capacitively coupled to the quantum processor chips 902 allowing microwave signals to propagate between the two quantum processor chips 902 .
- the inter-chip coupler devices 906 include a quantum bus architecture, which can be used to selectively provide inter-module coupling between different qubit devices on different quantum processor chips.
- the cap wafer 904 is bonded to the quantum processor chips 902 through superconductive contacts or other types of bonding bumps 924 .
- a cap wafer 904 further includes through-hole conductive vias 922 that connect top and bottom surfaces of the cap wafer 904 .
- the through-hole conductive vias 922 include a material (e.g., Al, In, Ti, Pn, Sn, etc.) that is superconducting at an operating temperature of the example modular quantum processing unit 910 .
- each of the bonding bumps 924 may include conductive or superconductive materials, such as copper or indium bumps.
- the bonding bumps 924 can provide electrical communication of the superconducting QuIC of the quantum processor chips 902 with the superconducting circuitry on the cap wafer 904 .
- the gap separating the cap wafer 904 and the quantum processor chips 902 is determined by the height of the bonding bumps 924 .
- superconducting bonding bumps can be selectively structured between the surface of the cap wafer 904 and the surface of the quantum processor chips 902 to segment the ground plane. Segments of the ground plane, which, for example, can be kept at an equipotential, can control the flow of supercurrent to prevent flux currents from intermingling.
- the cap wafer 904 may also include other circuit elements.
- the cap wafer 904 may include resonator devices which are capacitively coupled to qubit devices 912 to readout qubits.
- the cap wafer 904 may include microwave feedlines which are coupled to one or several of the resonator devices to allow microwave excitation of the resonator devices used to readout qubits of qubit devices.
- the cap wafer 904 may further include filters, isolators, circulators, amplifiers, or other circuit elements.
- through-hole vias 922 can be used as a part of control lines to transmit control signals received from one side of the cap wafer 904 to the other side that faces the quantum processor chips 902 .
- FIG. 10 A is a flow chart showing aspects of an example fabrication process 1000 of assembling a modular quantum processing unit with one cap wafer for each of quantum processor chips.
- the example process 1000 is used for assembling a modular quantum processing unit 1010 .
- a multiplicity of cap wafers 1004 and a corresponding multiplicity of quantum processor chips 1002 are provided.
- the cap wafer 1004 may be implemented as the example cap wafer 212 , 304 , 324 , 404 , 500 , 604 , 634 , 674 , or 718 ; and the quantum processor chips 1002 may be implemented as the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , or 730 as shown in FIGS. 2 , 3 A- 3 B, 4 A- 4 B, 5 , 6 A- 6 C , or 7 A- 7 C.
- one quantum processor chip 1002 is bonded at a time to its corresponding cap wafer 1004 to form a quantum processor module.
- all the quantum processor chips 1002 are bonded to the corresponding cap wafers 1004 ; and a multiplicity of quantum processor modules is formed.
- all the quantum processor modules are bonded together on a module integration plate 1008 which provides inter-chip couplings between the quantum processor chips 1002 in the quantum processor modules.
- FIG. 10 B is a schematic diagram showing aspects of the example modular quantum processing unit 1010 assembled according to the example process 1000 .
- the example modular quantum processor unit 1010 includes quantum processor chips 1002 bonded to corresponding cap wafer 1004 . As shown in the example modular quantum processor unit 1010 , each quantum processor chip 1002 is bonded to a corresponding cap wafer 1004 . In other words, each cap wafer 1004 supports only one quantum processor chip 1002 . Each pair of quantum processor chip 1002 and cap wafer 1004 forms a quantum processor module. Quantum processor modules are bonded to a separate module integration plate 1008 that includes inter-module coupler devices 1006 for providing inter-chip coupling between different quantum processor chips in distinct quantum processor modules.
- the cap wafer 1004 may be implemented as the cap wafer 904 as shown in FIGS. 9 A- 9 B ; and the quantum processor chips 1002 are implemented as the quantum processor chips 902 as shown in FIGS. 9 A- 9 B .
- the inter-module coupler device 1006 may be galvanically connected to the superconducting circuitry on the quantum processor chip 1002 .
- the module integration plate 1008 may include other superconducting circuit elements that can provide inter-chip coupling between non-neighboring quantum processor chips or quantum processor chips on non-neighboring cap wafers.
- the inter-module coupler devices 1006 are implemented as the inter-module coupler devices 906 described above with reference to FIGS. 9 A- 9 B .
- the through-hole conductive vias 1022 , the bonding bumps 1024 , the control lines 1026 , the qubit devices 1012 and the coupler devices 1014 are implemented as the through-hole conductive vias 922 , the bonding bumps 924 , the control lines 926 , the qubit devices 912 and the coupler devices 914 as shown in FIGS. 9 A- 9 B , or in another manner.
- FIG. 11 is a flow chart showing aspects of an example manufacturing process 1100 of inter-module coupler devices on a substrate.
- the example process 1100 is used to fabricate inter-module coupler devices on a substrate (e.g., the inter-module coupler device 1006 on the module integration plate 1008 in the example modular quantum processing unit 1010 in FIG. 10 ).
- the example process 1100 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in the example process 1100 can be combined, iterated or otherwise repeated, or performed in another manner.
- FIG. 11 different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown in FIG. 11 . Accordingly, an instance of the process 1100 does not generally include all operations shown in FIG. 11 .
- inter-module coupler devices are fabricated on a silicon wafer or a PCB single redistribution layer (RDL) device with solder bumps or balls in order to accommodate quantum processor modules.
- a single-layer RDL includes a superconductive material and patterned to serve as an inter-module coupler device with a line-space resolution quite typical for silicon device optical lithography or PCB technology.
- Solder elements are made of superconductive metal or alloy compatible with pads on a backside of the quantum processor chips for providing a reliable and superconductive permanent joint contact between a substrate and the quantum processor module. Temperature hierarchy of substrate soldering must be respected such that the quantum processor module integrity is maintained by keeping the substrate to the quantum processor modules temperature to not exceed the quantum processor chip to the cap wafer packaging solder melting point temperature.
- the substrate 1120 can be a crystalline silicon substrate or another type of dielectric substrate.
- the substrate 1120 may be a single crystal silicon wafer with intrinsic doping concentration or another doping concentration.
- the single crystal silicon wafer may have an orientation in ⁇ 100 ⁇ , ⁇ 110 ⁇ , ⁇ 111 ⁇ , or another orientation.
- the substrate 1120 may be implemented as the substrate 203 , 213 in FIG. 2 or in another manner.
- the substrate 1120 may be a PCB substrate.
- the superconducting structure 1124 includes a superconducting material.
- the superconducting material may include a superconducting metal, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example quantum processing unit 200 , or another superconducting metal.
- a superconducting metal such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example quantum processing unit 200 , or another superconducting metal.
- the superconducting material may include a superconducting metal alloy, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy.
- the superconducting material may include superconducting compound material, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material.
- the superconducting material may include multilayer superconductor-insulator heterostructures.
- the superconducting structure 1124 may be formed on the surface of the substrate 1120 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.).
- CVD chemical vapor deposition
- PVD physical vapor deposition
- ALD atomic layer deposition
- spin-on coating and/or other suitable techniques
- patterning processes e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.
- an under-bump superconductive structure is formed.
- the under-bump superconductive structure 1126 may be formed on the surface of the substrate 1120 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.).
- the under-bump superconductive structure includes a superconducting material, e.g., Mo/Re alloy.
- the example process 1100 continues with operation 1108 to form bumps or posts 1128 or operation 1110 to form solder balls 1130 over the under-bump superconductive structure.
- the bumps, posts 1128 or the solder balls 1130 are fabricated by one or more of the following processes: placement, vacuum deposition and liftoff, electro or electroless plating through the mask, or another process.
- FIG. 12 A is a flow chart showing aspects of an example fabrication process 1200 of assembling a modular quantum processing unit.
- the example process 1200 is used for fabricating a modular quantum processing unit 1220 .
- the modular quantum processing unit 1200 includes multiple quantum processor chips 1212 ; and each of the quantum processor chips includes a superconducting quantum integrated circuit with superconducting circuitry and quantum circuit devices.
- the modular quantum processing unit 1220 includes multiple cap wafers 1214 . Each cap wafer 1214 is bonded to multiple quantum processor chips 1212 , forming a quantum processor module 1216 .
- the quantum processor modules 1216 are assembled on to a substrate, where the cap wafers 1214 are facing the substrate.
- the quantum processor modules 1216 can be organized on the substrate in an array.
- the quantum processor modules 1216 can be communicably coupled to each other through inter-module coupler chips 1218 .
- Each of the inter-module coupler chips 1218 may include one or more inter-module coupler devices that are communicably coupled to the cap wafers 1214 .
- the inter-module coupler chip 1218 may be implemented as the quantum processor chip 1212 .
- the inter-module coupler chip 1218 may include superconducting circuitry with different design from that of the quantum processor chip 1212 .
- the inter-module coupler chip 1218 may reside at the edges of neighboring cap wafers 1214 for coupling quantum processor chips 1212 from two or more quantum processor modules 1216 .
- the cap wafer 1214 may be implemented as the multi-layered cap wafer 1904 , 2001 , 2031 , 2041 as shown in FIGS. 19 A- 19 C and 20 A- 20 C , or in another manner.
- a modular quantum processor unit 1220 includes 16 quantum processor chips in 4 ⁇ 4 array with each of the four cap wafers 1214 bonded to four quantum processor chips 1212 forming four quantum processor modules 1216 .
- four quantum processor modules 1216 in a modular quantum processing unit 1220 may not include the same number of cap wafers 1214 or the same number of quantum processor chips 1212 .
- the 16 quantum processor chips 1212 may be bonded to three cap wafers including two cap wafers bonded to four quantum processor chips and one cap wafer bonded to eight quantum processor chips.
- the cap wafers 1214 do not need to be square, they may be rectangular (e.g., the cap wafer 324 in FIG.
- the cap wafers 1204 may each include a plurality of wafers that are oriented parallel to one another and parallel to the quantum processor chips 1212 .
- a modular quantum processor unit 1220 may include a first multiplicity of cap wafers 1214 bonded to a second multiplicity of quantum processor chips 1212 , where the first multiplicity is less than the second multiplicity.
- Each cap wafer 1214 is bonded to more than one quantum processor chips 1212 .
- Each quantum processor chip 1212 may be bonded to one or more cap wafers 1214 .
- all the cap wafers 1214 do not need to be the same size, the same shape, and/or all the quantum processor chips 1212 do not need to be the same size.
- the cap wafers 1214 may be square, rectangular, or any other shape that is convenient for the task of forming recesses and waveguides for the quantum circuit devices and superconducting circuitry on the quantum processor chips 1212 , communicating control signals into or readout signals out of the quantum processor chips 1212 , and providing inter-chip coupling as required.
- FIG. 12 B is a flow chart showing aspects of an example fabrication process 1230 of assembling a modular quantum processing unit.
- the example process 1230 is used for fabricating a modular quantum processing unit 1250 .
- the modular quantum processing unit 1250 includes multiple quantum processor chips 1242 ; and each of the quantum processor chips 1242 includes a superconducting quantum integrated circuit with superconducting circuitry and quantum circuit devices.
- the modular quantum processing unit 1250 includes multiple cap wafers 1244 .
- Each quantum processor chip 1242 is bonded to multiple cap wafers 1244 , forming a quantum processor module 1246 .
- the quantum processor modules 1246 are assembled on to a substrate, where the cap wafers 1244 are facing the substrate.
- the quantum processor modules 1246 can be organized on the substrate in an array.
- the quantum processor modules 1246 can be communicably coupled to each other through inter-module coupler chips 1248 .
- Each of the inter-module coupler chips 1248 may include one or more inter-module coupler devices that are communicably coupled to the quantum processor chips 1242 .
- the inter-module coupler chip 1248 may be implemented as the cap wafers 1244 .
- the inter-module coupler chip 1248 may include superconducting circuitry with different design from the cap wafers 1244 .
- the inter-module coupler chip 1248 may reside at the edges of neighboring quantum processor chips 1242 for coupling quantum processor chips 1242 from two or more quantum processor modules 1246 .
- the cap wafer 1244 may be implemented as the multi-layered cap wafer 1904 , 2001 , 2031 , 2041 as shown in FIGS. 19 A- 19 C and 20 A- 20 C , or in another manner.
- a modular quantum processor unit 1250 includes 4 quantum processor chips 1242 in 2 ⁇ 2 array with each of the four quantum processor chips 1242 bonded to four cap wafers 1244 forming four quantum processor modules 1246 .
- four quantum processor modules 1246 in a modular quantum processing unit 1250 may not include the same number of cap wafers 1244 or the same number of quantum processor chips 1242 .
- one quantum processor chip 1242 may be bonded to two cap wafers 1244 ; two quantum processor chips 1242 each is bonded to five cap wafers 1244 ; and one quantum processor chip 1242 is bonded to four cap wafers 1244 .
- the cap wafers 1244 and the quantum processor chips 1242 do not need to be square, they may be rectangular (e.g., the cap wafer 324 in FIG. 3 B ), or can have a more complex shape, such as L-shape, etc.
- each cap wafer 1244 may be bonded to more than one quantum processor chips 1242 .
- Each quantum processor chip 1242 may be bonded to one or more cap wafers 1244 .
- all the cap wafers 1244 do not need to be the same size, the same shape, and/or all the quantum processor chips 1242 do not need to be the same size.
- the cap wafers 1244 may be square, rectangular, or any other shape that is convenient for the task of forming recesses and waveguides for the quantum circuit devices and superconducting circuitry on the quantum processor chips 1242 , communicating control signals into or readout signals out of the quantum processor chips 1242 , and providing inter-chip coupling as required.
- the cap wafers 1244 may each include a plurality of wafers that are oriented parallel to one another and parallel to the quantum processor chip 1242 .
- FIG. 13 is a schematic diagram showing aspects of an example modular quantum processing unit 1300 .
- the example modular quantum processing unit 1300 includes an array of quantum processor chips 1302 and an array of cap wafers 1304 .
- each of the cap wafers 1304 may be implemented as the example cap wafer 212 , 304 , 324 , 404 , 500 , 604 , 634 , 674 , or 718 ; and each of the quantum processor chips 1302 may be implemented as the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , or 730 as shown in FIGS.
- the array of quantum processor chips 1302 includes a first number of quantum processor chips 1302 ; and the array of cap wafers 1304 includes a second number of cap wafers 1304 . In some implementations, the first number is greater than the second number. For example, as shown in FIG. 13 , a 4 ⁇ 4 array of quantum processor chips 1302 are bonded to a 3 ⁇ 3 array of cap wafers 1304 . 8 quantum processor chips 1302 that includes inter-module coupler devices are bonded to more than one cap wafers 1304 .
- FIG. 14 is a schematic diagram showing aspects of an example modular quantum processing unit 1400 .
- the quantum processor modules e.g., a pair of a cap wafer 1404 and a quantum processor chip 1402
- the module integration plate 1408 e.g., waffle-shape carrier for quantum processor modules, or “waffle” carrier
- the module integration plate 1408 includes recesses 1428 that house respective quantum processor chips 1402 of a quantum processor module.
- the module integration plate 1408 may include multiple recessed surfaces with different depths and shapes ( FIG. 15 ) for housing respective quantum processor chips and cap wafers.
- the recesses 1428 on the module integration plate 1408 may have different shapes and depths.
- the recesses 1428 do not need to be the same size.
- the recesses on the module integration plate 1408 are configured according to the configurations of the quantum processor chips 1402 , the cap wafers 1404 and the quantum processor modules.
- the module integration plate 1408 is electrically coupled to the cap wafers 1404 .
- the inter-chip coupling between two quantum processor chips 1402 are through the cap wafers 1404 and the module integration plate 1408 .
- the module integration plate 1408 has a monolithic structure configured for housing all quantum processor chips 1402 in the example quantum processing unit 1400 .
- the example modular quantum processing unit 1400 may include multiple module integration plates 1408 ; and each module integration plate 1408 is configured for housing a subset of the quantum processor chips 1402 .
- the multiple module integration plates 1408 may be interconnected, supported, or otherwise integrated by a common plate or in another manner.
- the modular quantum processor 1400 includes multiple module integration plates 1408 .
- Each of the module integration plates 1408 may bond to one or more quantum processor modules.
- the cap wafer 1404 and the quantum processor chips 1402 are implemented as the cap wafers 1004 ; and the quantum processor chips are implemented as the quantum processor chips 1002 in FIGS. 10 A- 10 B .
- the module integration plate 1408 may be implemented as the module integration plate 1700 shown in FIG. 17 or in another manner.
- FIG. 15 is a schematic diagram showing a perspective view of an example module integration plate 1500 .
- the module integration plate 1500 includes multiple recesses 1502 and each of the recesses 1502 includes multiple cavities 1504 .
- Each of the recesses 1502 resides on a first surface of the module integration plate 1500 and extends to a recessed surface at a depth from the first surface.
- Each of the cavities 1504 resides on a recessed surface of a recess 1502 and extends to a second, opposite surface of the module integration plate 1500 .
- a recess 1502 can house a quantum processor chip in a quantum processor module; and a cavity 1504 may be configured to mate with a thermalization structure (e.g., metal pillars) for dissipating heat generate by a quantum processor chip housed in a respective recess. Areas between neighboring recesses 1502 define ridges 1506 on the first surface of the module integration plate 1500 . In some instances, inter-module coupler devices reside on the first surface at the ridges 1506 for coupling quantum processor chips that are housed in distinct recesses 1504 . In some instances, the module integration plate 1500 may include other superconducting circuitry that can carry signals at other surfaces (e.g., the second surface of the module integration plate 1500 ). In some instances, the module integration plate 1500 may be fabricated according to operations in the example processes 1600 , 1640 shown in FIGS. 16 A- 16 B , or in another manner.
- a thermalization structure e.g., metal pillars
- FIG. 16 A is a flow chart showing aspects of an example process 1600 of manufacturing a module integration plate.
- the example process 1600 is used for fabricating a module integration plate (e.g., the module integration plates 1408 , 1500 , 1700 as shown in FIGS. 14 , 15 , and 17 ), which includes recesses, through-hole vias, and inter-module coupler devices.
- the example process 1600 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in the example process 1600 can be combined, iterated or otherwise repeated, or performed in another manner.
- FIG. 16 A different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown in FIG. 16 A . Accordingly, an instance of the process 1600 does not generally include all operations shown in FIG. 16 A .
- the substrate 1620 can be a crystalline silicon substrate or another type of dielectric substrate.
- the substrate 1620 may be a single crystal silicon wafer with intrinsic doping concentration or another doping concentration.
- the single crystal silicon wafer may have an orientation in ⁇ 100 ⁇ , ⁇ 110 ⁇ , ⁇ 111 ⁇ , or another orientation.
- a surface of the substrate 1620 e.g., a polished surface, may be etched and cleaned to remove a native oxide layer, particles or organic contaminants.
- the substrate 1620 can be etched in a buffered oxide etchant (BOE) containing an aqueous solution of ammonium fluoride and hydrofluoric acid, thoroughly rinsed with deionized (DI) water, and dried with a flow of nitrogen.
- BOE buffered oxide etchant
- DI deionized
- the substrate 1620 may be cleaned using different chemical solutions in another cleaning process.
- the substrate 1620 includes a buried oxide layer 1622 .
- a buried oxide layer 1622 is a buried layer of silicon oxide in the substrate 1620 .
- a buried oxide layer 1622 can be formed by directly introducing oxygen ions underneath the surface of the silicon substrate using an ion implantation process. In this case, the energy and dose of the oxygen ions can be determined according to the range and the profile of the implanted layer.
- the substrate 1620 can be annealed to remove the degradation to the crystalline silicon layer caused by the implanted oxygen ions.
- the buried oxide layer 1622 can be formed using another process.
- the substrate 1620 with a buried oxide layer 1622 can be formed using a bonding and etch-back process.
- two substrates can be cleaned and bonded by sandwiching a silicon oxide layer between two silicon wafers followed by thinning one substrate down to a desired thickness.
- trenches are formed in the substrate. As shown in FIG. 16 A , the trenches 1624 A, 1624 B are formed on both surfaces of the substrate 1620 . In some instances, each of the trenches 1624 A, 1624 B extends along the Z-direction and has a bottom terminated at the buried oxide layer 1622 . In some implementations, depths of the trenches 1624 A, 1624 B in the Z-direction are defined by the thickness of each of the silicon layers on each side of the buried oxide layer 1622 in the substrate 1620 . In some implementations, the trenches 1624 A, 1624 B also extend in the X-Y plane to define boundaries of recesses and through-hole vias.
- the trenches 1624 A in the substrate 1620 on one side of the buried oxide layer 1622 define locations of sidewalls of the recesses in the substrate 1620 ; and the trenches 1624 B in the substrate 1620 on the other side of the buried oxide layer 1622 define locations of sidewalls of the through-hole vias in the substrate 1620 .
- the trenches 1624 A, 1624 B may be formed on the substrate 1620 by performing at least some of the following processing steps on each side of the substrate 1620 : performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.); and performing a wet/dry etching process.
- an oxidation layer is formed on the substrate.
- an oxidation layer 1626 is formed conformally on both of the surfaces of the substrate 1620 and sidewalls of the trenches 1624 .
- the oxidation layer 1626 can be formed by performing a thermal oxidation process, an atomic layer deposition (ALD) process, a chemical vapor deposition (CVD) process, a physical vapor deposition (PVD) process, or another process.
- the oxidation layer on the substrate is patterned.
- the oxide layer 1626 is patterned to form openings 1628 by removing the oxide layer in areas defined by the surrounding trenches 1624 A, 1624 B extending in the X-Y plane; the oxide layer 1626 is also patterned by removing the oxide layer in areas where the inter-module coupler devices are formed.
- the oxidation layer 1626 is patterned by performing at least some of the following processing steps: performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.); and using a dry/wet etching process.
- superconducting structures are formed on the substrate.
- superconducting structures 1632 are formed on the surface of the substrate 1620 in at least a subset of the openings 1628 .
- a superconducting structure 1632 which may include one or more contact pads with superconducting lines, is part of a respective inter-module coupler device (e.g., the inter-module coupler device 1406 as shown in FIG.
- quantum processor chips e.g., quantum processor chips 1402 housed in the recesses (e.g., the recesses 1428 ) of the substrate 1620 (e.g., the module integration plate 1408 ) through respective cap wafers (e.g., the cap wafers 1404 ).
- the superconducting structure 1632 may be formed on the surface of the substrate 1620 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.).
- CVD chemical vapor deposition
- PVD physical vapor deposition
- ALD atomic layer deposition
- spin-on coating and/or other suitable techniques
- patterning processes e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.
- the superconducting structure 1632 includes superconducting materials.
- the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example quantum processing unit 200 , or another superconducting metal.
- the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy.
- the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material.
- the superconducting materials may include multilayer superconductor-insulator heterostructures.
- recesses and through-hole vias are formed on the substrate.
- the silicon layer exposed by at least a subset of the openings 1628 on both of the surfaces of the substrate 1620 is removed by performing an etching process to form the recess 1636 and the through-hole via 1638 .
- the patterned oxide layer 1626 is compatible with the etching process; and the superconducting structure 1632 is protected, e.g., by a patterned photoresist layer, during the etching process.
- an etch rate of the silicon layer at the openings 1628 is great enough so that etch rates of the oxide layer and the superconducting material in the superconducting structure 1632 are negligible.
- portions of the buried oxide layer 122 exposed by the recess 1636 and the through-hole vias 1638 in the silicon layer are also removed after the silicon layer is removed, for example by performing an etching process.
- the through-hole vias 1638 connects the recessed surface of the recesses 1636 and one of the surfaces of the substrate 1620 .
- the patterned oxidation layer 1626 is removed.
- FIG. 16 B is a flow chart showing aspects of an example process 1640 of manufacturing a module integration plate.
- the example process 1640 is used for fabricating a module integration plate (e.g., the module integration plates 1408 , 1500 , 1700 as shown in FIGS. 14 , 15 , and 17 ), which includes recesses, through-hole vias, and inter-module coupler devices.
- the example process 1640 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in the example process 1640 can be combined, iterated or otherwise repeated, or performed in another manner. As shown in FIG.
- FIG. 16 B different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown in FIG. 16 B . Accordingly, an instance of the process 1640 does not generally include all operations shown in FIG. 16 B .
- operations 1642 and 1644 are performed with respect to operations 1602 and 1610 ; operations 1646 and 1648 are performed with respect to the operations 1604 and 1606 ; and operations 1650 and 1652 are performed with respect to the operations 1608 and 1612 in the example process 1600 as shown in FIG. 16 A .
- the operations 1642 , 1644 , 1646 , 1648 , 1650 , and 1652 may be performed in another manner.
- FIG. 17 shows perspective view and cross-section view (A-A′) of an example module integration plate 1700 .
- the example module integration plate 1700 is fabricated in a substrate 1702 according to the operations in the example process 1600 , 1640 in FIGS. 16 A, 16 B .
- the module integration plate 1700 may be implemented as the module integration plate 1820 in the modular quantum processing unit 1800 in FIGS. 18 A, 18 B .
- the example module integration plate 1700 includes four recesses 1706 , each of which is defined by sidewalls 1712 and a recessed surface 1714 which resides at a depth from a first surface 1704 A of the substrate 1702 .
- the example module integration plate 1700 further includes cavities 1708 A and through-hole vias 1708 B which connects the recessed surfaces 1714 at the four recesses 1706 to a second, opposite surface 1704 B of the substrate 1702 .
- Each of the recesses 1706 has a rectangular shape in the X-Y plane and the sidewalls 1712 are normal to the first surface 1704 and the recessed surface 1714 ; and each of the through-hole vias has a circular shape in the X-Y plane and respective sidewalls are normal to the second and recessed surfaces 1704 B, 1714 .
- the recesses 1706 , cavities 1708 A, and through-hole vias 1708 B may have different shapes in the X-Y plane and sidewalls may not be normal to the respective surfaces.
- Each of the recesses 1706 is communicably connected with two cavities 1708 A and an array of through-hole vias 1708 B extending from the recessed surface 1714 to the second surface 1704 B.
- the cavities 1704 A and the through-hole vias 1704 B in the substrate 1702 may have different sizes.
- the cavities 1708 A have greater diameters in the X-Y plane than that of the through-hole vias 1708 B.
- the cavities 1708 A are configured to mate with a thermalization substrate so that when being assembled with a quantum processor chip, metal pillars of the thermalization structure are in mechanical contact with the quantum processor chip housed in the recess for dissipating heat generated.
- the through-hole vias 1708 B are configured to mate with an interposer, so that when being assembled with a quantum processor chip, spring-loaded pin contacts of the interposer are in electrical contact with the quantum processor chip (e.g., to ground).
- the module integration plate 1700 includes an inter-module coupler device 1710 on the first surface 1704 A of the substrate 1702 at areas between two neighboring recesses 1706 .
- the inter-module coupler device 1710 includes a superconducting structure which may be implemented as the superconducting structure 1632 as shown in FIGS. 16 A, 16 B or in another manner.
- the inter-module coupler device 1710 when being assembled with quantum processor modules in a modular quantum processing unit, forms electrical connections with the superconducting circuitry of the cap wafers and further to the respective quantum processor chips, which are housed by the recesses 1706 in the module integration plate 1700 .
- each of the recesses 1706 of the module integration plate 1700 is configured to house two quantum processor chips which are capped by a common cap wafer in a quantum processor module.
- each of the recesses may be configured to house more than two quantum processor chips.
- Each of the quantum processor chips housed in two distinct recesses are interconnected by respective inter-chip coupler devices 1710 at the first surface 1704 between the two distinct recesses 1706 .
- the inter-module coupler devices 1710 can provide electrical connections between quantum processor chips housed in distinct recesses 1706 of the module integration plate 1700 .
- the module integration plate 1700 includes openings 1716 into the recesses 1706 defined at the first surface 1704 .
- cap wafers of the quantum processor modules can be disposed over respective openings 1706 and over at least a portion of the first surface 1704 around the respective openings 1706 ; and quantum processor chips of the quantum processor modules are disposed at a depth between the first surface 1704 and the recessed surface 1714 .
- a modular quantum processing unit includes multiple cap wafers and multiple cap wafers may disposed over respective openings of the respective recesses.
- the module integration plate 1700 is fabricated on a silicon wafer, a PCB substrate, or another type of substrate.
- FIG. 18 A includes schematic diagrams of explode-view and assembled-view of an example modular quantum processing unit 1800 .
- the modular quantum processing unit 1800 includes quantum processor modules 1810 which includes one or more quantum processor chips 1814 and one or more cap wafers 1812 .
- Each of the quantum processor chips 1814 includes a superconducting integrated circuit with quantum circuit devices (e.g., qubit devices, coupler devices, readout devices, etc.).
- Each of the cap wafer 1812 includes superconducting circuitry with control lines and other circuit components.
- a cap wafer 1812 is mechanically bonded and electrically connected to at least one quantum processor chip 1814 .
- the control lines are configured to communicate control signals between the quantum processor chips and a control system (e.g., the control system 105 in the quantum computing system 103 of FIG. 1 ).
- the control lines include microwave drive lines, qubit flux bias lines, coupler flux bias lines, or other signal lines.
- the quantum processor module 1810 may be implemented as the quantum processor modules shown in FIGS. 2 , 3 A, 3 B, 4 B, 6 A, 6 B, 9 A, 9 B, 10 A, 12 , 13 , or in another manner.
- the superconducting circuitry of the cap wafer 1812 connects inter-module coupler devices 1826 through respective connections.
- the connections of each of the inter-module coupler devices 1826 include a conductive connection (e.g., a bonding bump), a capacitive connection (e.g., a pair of capacitive electrodes), or an inductive connection.
- the modular quantum processing unit 1800 includes a module integration plate 1820 which includes recesses 1822 , through-hole vias 1824 A, cavities 1824 B, and inter-module coupler devices 1826 .
- the modular integration plate 1820 may be implemented as the module integration plates 1408 , 1500 , 1700 shown in FIGS. 14 , 15 , 17 or in another manner.
- the module integration plate 1820 is configured to house the quantum processor chips 1814 in the recesses 1822 , and to provide inter-chip coupling between the cap wafers 1812 and thus the respective quantum processor chips 1814 housed in distinct recesses 1822 .
- the modular quantum processing unit 1800 further includes an interposer 1830 .
- the interposer 1830 includes a printed circuit board (PCB) substrate 1836 .
- the PCB substrate 1836 includes through-holes 1834 , when being assembled in the example modular quantum processing unit 1800 , align with the cavities 1824 B of the module integration plate 1820 .
- the PCB substrate 1836 also includes the spring-loaded pin connections 1832 , when being assembled in the example modular quantum processing unit 1800 , are disposed in the respective through-hole vias 1824 A of the module integration plate 1820 .
- each of the quantum processor chips 1814 further includes superconducting circuitry on a second surface opposite to a first surface where the superconducting integrated circuit with quantum circuit devices resides.
- the superconducting circuitry on the second surface of the quantum processor chips 1814 are galvanically connected to the spring-loaded pin connections 1832 and further to ground. In some instances, the superconducting circuitry on the second surface is conductively connected to the superconducting integrated circuit on the first surface through conductive through-hole vias in the substrate of the quantum processor chips 1814 .
- the modular quantum processing unit 1800 further includes one or more thermalization substrate 1840 .
- Each of the thermalization substrate 1840 includes heat sink materials such as aluminum, copper, and their alloys, which can provide favorable thermal and mechanical properties.
- each thermalization substrate 1840 includes metal pillars 1842 on a metal base 1844 .
- Each of the metal pillars 1842 of a thermalization substrate 1840 when being assembled in the example modular quantum processing unit 1800 , is disposed in the cavities 1824 B of the module integration plate 1820 and the through-holes 1834 of the interposer 1830 and is mechanically in contact with at least a subset of the quantum processor chips 1814 of the quantum processor modules 1810 housed in respective recesses 1822 of the module integration plate 1820 .
- each of the thermalization substrate 1840 is a heat sink that dissipates the heat generated by each of the quantum processor chips 1814 to regulate the operating temperature of the quantum processor chips 1814 .
- the metal base 1844 of the thermalization substrate 1840 may be used as the universal ground for the quantum processor modules 1810 .
- the spring-loaded pin contacts 1832 are in electrical contact with the metal base 1844 of the thermalization substrate 1840 .
- the spring-loaded pin connections 1832 of the interposer 1830 are grounded in another manner.
- the module integration plate 1820 , the interposer 1830 and the thermalization substrate 1840 may be assembled to form an assembly 1850 prior to integration with the quantum processor modules 1810 .
- the example modular quantum processing unit 1800 may be assembled in a different manner.
- the example modular quantum processing unit 1800 may include additional and different features or components and components of the example modular quantum processing unit 1800 may be implemented in another manner.
- the example modular quantum processing unit 1800 may include multiple module integration plates, which may be configured to house a subset of quantum processor models.
- the multiple module integration plates may be assembled with a common interposer and a common thermalization substrate.
- a subset of the multiple module integration plates is assembled with an interposer and a thermalization substrate.
- FIG. 18 B is a schematic diagram showing a perspective view of the example assembly 1850 of module integration plate, interposer, and thermalization substrate shown in FIG. 18 A .
- the example assembly 1850 as part of the modular quantum processing unit 1800 , includes the module integration plate 1820 , the interposer 1830 and the thermalization substrate 1840 .
- the PCB substrate for the interposer 1830 and the metal base of the thermalization substrate 1840 are not shown.
- the metal pillars 1842 of the thermalization substrate 1840 and the spring-loaded pin connections 1842 of the interposer 1830 are disposed through the respective cavities 1824 B and the through-hole vias 1824 A in the module integration plate 1820 .
- the metal pillars 1842 and the spring-loaded pin connections 1832 terminate in the recesses 1822 .
- FIGS. 19 A- 19 C are schematic diagrams showing cross-sectional views of example quantum processor modules 1900 , 1940 , 1950 .
- Each of the example quantum processor modules 1900 , 1940 , 1950 includes a quantum processor chip 1902 and a multi-layered cap wafer 1904 .
- the quantum processor chip 1902 may be implemented as the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , 730 as shown in FIGS. 2 , 3 A- 3 B, 4 A- 4 B, 5 , 6 A- 6 C, 7 A- 7 C , or in another manner.
- the multi-layered cap wafer 1904 may be bonded to multiple quantum processor chips 1902 (e.g., as shown in FIG. 12 ); the quantum processor chip 1902 may be bonded to multiple multi-layered cap wafers 1904 (e.g., as shown the example quantum processor modules 1900 , 1940 , 1950 shown in FIGS. 19 A- 19 C
- the multi-layered cap wafer 1904 includes a wafer stack, which includes a first cap wafer 1906 A and a second cap wafer 1906 B assembled (e.g., using wafer bonding or other techniques) to form multiple metallization layers 1908 A, 1908 B, 1908 C-I 1 , 1908 C-I 2 .
- Each of the multiple metallization layers 1908 A, 1908 B, 1908 C-I 1 , 1908 C-I 2 in the multi-layered cap wafer 1904 includes superconducting signal lines extending along surfaces of the first and second cap wafers 1906 A, 1906 B.
- each of first and second cap wafers 1906 A, 1906 B may be implemented as the cap wafer 212 , 304 , 414 , 500 , 604 , 634 , 904 , 1004 , 1404 , 1812 in FIGS. 2 , 3 A, 4 B, 5 , 6 A- 6 B, 9 B, 10 B, 14 , 18 , or in another manner.
- the cap wafers 1906 A, 1906 B and the metallization layers in the multi-layer cap wafer 1904 are oriented parallel to one another, and the cap wafers 1906 A, 1906 B are oriented parallel to the quantum processor chip when the cap wafer is bonded to the quantum processor chip 1902 .
- the generally planar structures of the cap wafers 1906 A, 1906 B (and their constituent layers) and the quantum processor chip 1902 are spatially oriented parallel to one another.
- Each metallization layer 1908 A, 1908 B, 1908 C-I 1 , 1908 C-I 2 in the multi-layered cap wafer 1904 may further include superconducting circuit components.
- a first metallization layer 1908 A on a first surface (e.g., residing farthest from the quantum processor chip 1902 ) of the first cap wafer 1906 A includes Input/Output (I/O) interface devices 1932 , e.g., solder joints, contact pads, etc., that connect the quantum processor module 1900 to a control system (e.g., the control system 105 in FIG. 1 ) through external wiring connections for receiving control signals (e.g., flux bias signals, microwave drive signals, etc.) or transmitting readout signals.
- I/O Input/Output
- the second metallization layer 1908 B on a second surface (e.g., residing closest to the quantum processor chip 1902 ) of the second cap wafer 1906 B facing the quantum circuit devices (e.g., the qubit devices 1912 and the coupler devices 1914 ) on the quantum processor chip 1902 includes superconducting circuitry 1926 which may include circuitry portions 214 , 216 , 218 on the cap wafer 212 in FIG. 2 .
- the second metallization layer 1908 B on the second surface of the second cap wafer 1906 B directly communicates with the quantum circuit devices on the quantum processor chip 1902 through galvanic, capacitive, or inductive connections.
- the superconducting circuitry 1926 on the second metallization layer 1908 may include qubit flux bias lines, coupler flux bias lines, flux bias devices, microwave drive lines, readout resonator devices, or other circuit devices.
- the second surface of the second cap wafer 1906 B includes recesses (e.g., the recesses 232 shown in FIG. 2 ) that are defined by recessed surfaces and sidewalls such that after being assembled with the quantum processor chip 1902 the recesses house respective quantum circuit devices on the quantum processor chip 1902 .
- the multi-layered cap wafer 1904 includes two intermediate metallization layers that are oriented parallel to each other, e.g., a first intermediate metallization layer 1908 C-I 1 and a second intermediate metallization layer 1908 C-I 2 .
- the first intermediate metallization layer 1908 C-I 1 resides on the first cap wafer 1906 A, which are interconnected to the first metallization layer 1908 A by respective conductive through-hole vias 1922 .
- the second intermediate metallization layer 1908 C-I 2 resides on the second cap wafer 1906 B, and is interconnected to the second metallization layer 1908 B by respective conductive through-hole vias 1922 .
- each of the conductive through-hole vias 1922 of the multi-layered cap wafer 1904 may be implemented as the conductive vias 222 A, 222 B of the cap wafer 212 in FIG. 2 , or in another manner.
- the first, second and intermediate metallization layers 1908 A, 1908 B, 1908 C-I 1 , 1908 C-I 2 include superconducting materials.
- each of the first and second intermediate metallization layers 1908 C-I 1 and 1908 C-I 2 in the multi-layered cap wafer 1904 includes a microwave circuit.
- at least one of the first and second intermediate metallization layers 1908 C-I 1 and 1908 C-I 2 includes Purcell filters 1924 , reflective attenuators 1934 , frequency-specific filters 1936 , or other microwave circuit elements.
- the microwave circuit elements in the first and second intermediate metallization layers 1908 C-I 1 and 1908 C-I 2 are communicably connected to the I/O interface device 1932 on the first metallization layer 1908 A; and to the quantum circuit devices (e.g., the qubit devices 1924 and the coupler devices 1914 ) on the quantum processor chip 1902 via respective circuit devices in the superconducting circuitry 1926 on the second metallization layer 1908 B.
- the quantum circuit devices e.g., the qubit devices 1924 and the coupler devices 1914
- the Purcell filters 1924 are communicably connected the qubit device 1912 via the readout resonator devices; the reflective attenuators 1934 are communicably connected to the qubit devices 1912 via the microwave drive lines; and the frequency-specific filters 1936 are communicably connected to the qubit devices 1912 or the coupler devices 1912 via the qubit flux bias lines or the coupler flux bias lines.
- the Purcell filter 1924 includes one or more coupled linear resonators and is configured to filter microwave photons.
- a Purcell filter includes a microwave transmission line structure, a network of linear resonators (e.g., discrete lumped capacitors and inductors), or another structure.
- a Purcell filter is implemented as the example Purcell filters 2202 , 2212 , 2222 in FIGS. 22 A- 22 C .
- Each of the example Purcell filters 1924 is a frequency-selective microwave filter disposed between a readout resonator device and a readout line, which allows signal propagation at a resonator operating frequency and suppresses signal propagation at the respective qubit operating frequencies.
- a Purcell filter can be configured to allow resonator photons to escape (for fast readout) while blocking qubit photons (for long qubit lifetime).
- the reflective attenuator 1934 is configured to attenuate a signal leaked from the qubit device 1912 by reflecting it back towards the qubit device 1912 of the quantum processor chip 1902 and block the energy leaking out of the qubit device 1912 .
- a reflective attenuator 1934 includes a large in-line capacitor, inductor, or a combination of circuit elements that act as an impedance mismatch resulting in a diminished transmission across that element.
- the frequency-specific filters 1936 are configured to block respective qubit operating frequencies while allowing signals below a particular frequency (low-pass), above a particular frequency (high-pass), or in a narrow range (band-pass).
- a frequency-specific filter 1936 includes ?]] lumped element circuit elements, e.g., capacitors and inductors, or a combination thereof, which allows signals below a qubit operating frequency to pass.
- a frequency-specific filter 1936 is a low-pass filter including an in-line inductor combined with a capacitor to ground; a high-pass filter including an in-line capacitor combined with an inductor to ground; or a band-pass filter including combinations of both in-line and grounded capacitors and inductors.
- a frequency-specific filter 1936 may include multiple poles or a sequence of a combination of circuit elements, for stronger filtering.
- a frequency-specific filter 1936 may include one or more resonators (e.g., based on coplanar waveguides or other structures).
- a frequency-specific filter 1936 may be constructed in another manner.
- a qubit device 1912 is a tunable-frequency qubit device
- the tunable-frequency qubit device may be communicably connected to multiple control lines with respective microwave circuit elements.
- each tunable-frequency qubit device may be associated with multiple microwave circuit elements for blocking qubit photons, qubit energy, or signals at a qubit operating frequency.
- a tunable-frequency qubit device may be inductively coupled to a flux bias control line for receiving a flux bias signal; capacitively coupled to a microwave drive line for receiving a microwave drive signal, and a readout line for retrieving a readout measurement.
- the flux bias control line may include one or more frequency-specific filters; the microwave drive line may include one or more reflective attenuators; and the readout line may include one or more Purcell filters.
- a qubit device may not be communicably connected to a readout line.
- a qubit device when it has a fixed frequency, may not be controlled by a flux bias control line.
- other quantum circuit devices in the quantum processor chip 1902 may be controlled via control lines, each of which may include one or more microwave circuit elements.
- a coupler flux bias control line associated with the tunable-frequency coupler device may include one or more frequency-specific filters for blocking signals at a coupler operating frequency.
- the quantum processor chip 1902 only includes quantum circuit devices and does not include any Purcell filters, frequency-specific filters, reflective attenuators, or other microwave circuit elements.
- the microwave circuit elements in the first and second intermediate metallization layers 1908 C-I 1 and 1908 C-I 2 are configured to confine the qubit energy to the quantum processor chip 1902 ; block signals at qubit operating frequencies; reduce losses from the qubit devices 1912 ; improve lifetime of qubit modes; and improve coherence time and overall performance of the quantum processor module.
- the microwave circuit elements may be entirely disposed on the second intermediate metallization layer 1908 C-I 2 of the second cap wafer 1906 B as shown in FIG. 19 A .
- the microwave circuit elements e.g., the Purcell filters 1924 , the reflective attenuators 1934 , and the frequency-specific filters 1936
- the microwave circuit elements may be entirely disposed on the first intermediate metallization layer 1908 C-I 1 of the first cap wafer 1906 A as shown in FIG. 19 A .
- a first subset of the microwave circuit elements may be disposed on the first intermediate metallization layer 1908 C-I 1 ; and a second subset of the microwave circuit elements may be disposed on the second intermediate metallization layer 1908 C-I 2 as shown in FIG. 19 C .
- the multi-layered cap wafer 1904 may include more than two cap wafers which may define more than two intermediate metallization layers; and the Purcell filters 1924 , the reflective attenuators 1934 , the frequency-specific filters 1936 , and other microwave circuit elements may be distributed on different intermediate metallization layers in the multi-layered cap wafer 1904 .
- FIGS. 20 A- 20 C are block diagrams showing aspects of example quantum processor modules 2000 , 2030 , 2040 .
- Each of the quantum processor modules 2000 , 2030 , 2040 includes a quantum processor chip and a multi-layered cap wafer.
- the example quantum processor module 2000 in FIG. 20 A includes a multi-layered cap wafer 2001 and a quantum processor chip 2003 ;
- the example quantum processor module 2030 in FIG. 20 B includes a multi-layered cap wafer 2031 and a quantum processor chip 2033 ;
- the example quantum processor module 2040 in FIG. 20 C includes a multi-layered cap wafer 2041 and a quantum processor chip 2043 .
- Each of the quantum processor chips 2003 , 2033 , 2043 includes a superconducting integrated circuit 2002 which includes qubit devices 2010 , and other quantum circuit devices (e.g., coupler devices).
- the superconducting integrated circuit 2002 is supported on a substrate 2009 .
- the qubit devices 2010 may be implemented as the qubit devices 306 , 332 , 912 , 1012 , 1412 , 1912 in FIGS. 3 A, 3 B, 9 B, 10 B, 14 , 19 A- 19 or in another manner.
- the quantum processor chip 2003 may be implemented as the example quantum processor chips 202 , 302 A, 302 B, 302 C, 322 A, 322 B, 322 C, 322 D, 402 , 602 , 632 , 672 , 730 , 902 , 1002 , 1212 , 1302 , 1814 , 1902 shown in FIGS. 2 , 3 A- 3 B, 4 A- 4 B, 5 , 6 A- 6 C, 7 A- 7 C, 9 B, 10 B, 12 , 13 18 A, 19 A- 19 C.
- the substrate 2009 may be implemented as the first substrate 203 in FIG. 2 or in another manner.
- Each of the multi-layered cap wafers 2001 , 2031 , 2041 is configured to provide communication between each of the respective quantum processor chips 2003 , 2033 , 2043 and a control system (e.g., the control system 105 in FIG. 1 ).
- a control system e.g., the control system 105 in FIG. 1 .
- Each of the multi-layered cap wafers 2001 , 2031 , 2041 includes a wafer stack that defines multiple layers; in the examples shown the layers of the cap wafers are all oriented parallel to one another. As shown in FIGS.
- each of the multi-layered cap wafers 2001 , 2031 , 2041 includes a first end layer 2004 residing closest to the quantum processor chip 2003 , a second end layer 2008 residing farthest from the quantum processor chip 2003 , and an intermediate layer 2006 residing between the first and second end layers 2004 , 2008 .
- the first end layer resides on a first substrate 2005 ; and the second end layer resides on a second, distinct substrate 2007 .
- Each of the first and second substrates 2005 , 2007 may be implemented as the substrate 213 in FIG. 2 or in another manner.
- each of the multi-layered cap wafers 2001 , 2031 , 2041 may include other microwave circuit elements, such as filters, isolators, circulators, or amplifiers.
- the intermediate layer 2006 may reside on the first substrate 2005 or on the second substrate 2007 .
- each of the first and second substrate 2005 , 2007 may include a portion of the intermediate layer 2006 .
- the portion of the intermediate layer 2006 on the first substrate 2005 is communicably coupled to the portion of the intermediate layer 2006 on the second substrate 2007 .
- the portions of the intermediate layer 2006 on the first and second substrate 2005 , 2007 are communicably coupled together through bonding bumps, capacitive electrodes, or in another manner.
- the intermediate layer 2006 includes Purcell filters 2016 and a set of first coupler devices 2024 .
- Each first coupler device 2024 communicably couples a Purcell filter 2016 with a measurement line 2026 .
- each of the first coupler devices 2024 is a capacitive coupler device, an inductive coupler device, or another type of coupler device.
- a Purcell filter 2016 can be a one-on-one Purcell filter (e.g., one Purcell filter for one corresponding readout resonator), a half-wave “intrinsic” Purcell filter, a multiplexed feedline Purcell filter (e.g., a shared common Purcell filter for at least a subset of the readout resonators), or another type of Purcell filter.
- a half-wave “intrinsic” Purcell filter includes a transmission line that acts as a readout resonator for a respective qubit device and has built-in Purcell filtering properties.
- a Purcell filter 2016 may be implemented as the multiplexed feedline Purcell filter 2202 in FIG. 22 A , the one-on-one transmission line Purcell filter 2212 A, 2212 B, 2212 C, 2212 D in FIG. 22 B , the one-on-one Purcell filter with a capacitor-inductor network 2222 A, 2222 B, 2222 C, 2222 D in FIG. 22 C .
- the first and second substrates 2005 , 2007 include conductive through hole vias 2022 A, 2022 B which are configured to interconnect the intermediate layer 2006 with the first and second end layers 2004 , 2008 .
- the first and second end layers 2004 , 2008 , the intermediate layer 2006 , and the conductive through-hole vias 2022 A, 2022 B include superconducting materials.
- the quantum processor chip 2003 further includes readout resonator devices 2012 Each readout resonator device 2012 is capacitively coupled to a respective qubit device 2010 through a respective capacitive coupler device 2014 .
- the first end layer 2004 includes a set of second coupler devices 2018 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a readout resonator device 2012 on the quantum processor chip 2003 through a second coupler device 2018 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a subset of readout resonator devices 2012 on the quantum processor chip 2003 through a subset of second coupler device 2018 .
- the first end layer 2004 includes readout resonator devices 2012 and a set of second coupler devices 2018 .
- Each readout resonator device 2012 is capacitively coupled to a respective qubit device 2010 through a respective capacitive coupler device 2034 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a readout resonator device 2012 through a second coupler device 2018 on the first end layer 2004 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a subset of the readout resonator devices 2012 through a subset of the second coupler devices 2018 on the first end layer 2004 .
- the first end layer 2004 includes readout resonator devices 2012 .
- Each readout resonator device 2012 is capacitively coupled to a respective qubit device 2010 through a respective capacitive coupler device 2034 .
- the intermediate layer 2006 further includes a set of second coupler devices 2018 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a readout resonator device 2012 on the first end layer 2004 through a second coupler device 2018 on the intermediate layer 2006 .
- each Purcell filter 2016 in the intermediate layer 2006 is communicably coupled to a subset of readout resonator device 2012 on the first end layer 2004 through a subset of second coupler device 2018 on the intermediate layer 2006 .
- a readout resonator device 2012 is a quarter-wave resonator device, a half-wave resonator device, or another type of resonator device.
- a readout resonator device 2012 may be implemented as a planar resonator (e.g., the planar resonators 504 in FIG. 5 ) which can be coupled to a qubit device 2010 through corresponding qubit electrodes (e.g., the qubit electrodes 410 in FIGS. 4 A- 4 B ) or in another manner.
- each of the second coupler devices 2018 may be a capacitive coupler device, an inductive coupler device, or another type of coupler device.
- FIG. 21 is a schematic diagram showing aspects of an example modular quantum processing unit 2100 .
- the example modular quantum processing unit 2100 includes multiple quantum processor modules 2102 A, 2102 B, 2102 C, 2102 D.
- Each of the quantum processor modules 2102 A, 2102 B, 2102 C, 2102 D includes a multi-layered cap wafer with a quantum processor chip.
- each of the quantum processor modules 2102 A, 2102 B, 2102 C, 2102 D can be implemented as the quantum processor modules 1900 , 1940 , 1950 as shown in FIGS. 19 A, 19 B, 19 C or in another manner.
- the modular quantum processing unit 2100 further includes a module integration plate 2104 , which includes recesses 2012 that house respective quantum processor chips in the quantum processor modules 2102 A, 2102 B, 2102 C, 2102 D and cavities 2014 to receive metal pillars of a thermalization substrate for heat dissipation.
- the module integration plate 2104 may be implemented as the module integration plate 1408 , 1700 , 1840 as shown in FIGS. 14 , 17 , 18 or in another manner.
- multiple modular quantum processing units 2100 may be stacked together to form a 3-dimensional array of quantum processor modulars.
- FIGS. 22 A- 22 C are circuit diagrams showing aspects of example readout circuits 2200 , 2210 , 2220 .
- the example readout circuits 2200 , 2210 , 2220 are configured for performing readout measurements to obtain quantum states of at least a subset of qubit devices in a quantum processor chip of a modular quantum processing unit.
- Each of the example readout circuits 2200 , 2210 , 2220 includes readout resonator devices, coupler devices, at least one Purcell filter, signal lines, and other circuit elements.
- the example readout circuits 2200 , 2210 , 2220 include superconducting circuitry.
- the example readout circuits 2200 , 2210 , 2220 may be entirely disposed on one or more layers in a multi-layered cap wafer (e.g., the Purcell filter 2016 on the intermediate layer 2006 and the readout resonator device 2012 on the first end layer 2004 of the multi-layered cap wafer 2041 as shown in FIGS. 20 B and 20 C ).
- the example readout circuits 2200 , 2210 , 2220 may be partially disposed on a multi-layered cap wafer and partially on a quantum processor chip (e.g., the readout resonator 2012 on the quantum processor chip 2043 and the Purcell filter 2016 on the intermediate layer 2006 of the multi-layered cap wafer 2041 as shown in FIG. 20 A ).
- the example readout circuits 2200 , 2210 , 2220 may be configured in the modular quantum processing unit in another manner.
- the example readout circuit 2200 includes a multiplexed Purcell filter 2202 that is connected to three readout resonator devices 2204 A, 2204 B, 2204 C through respective coupler devices 2206 A, 2206 B, 2206 C.
- the multiplexed Purcell filter 2202 is a stub (e.g., a transmission line or a waveguide) that is connected to a feedline or a readout line on one end.
- the readout resonator devices 2204 A, 2204 B, 2204 C can be implemented as the readout resonator devices 504 , 2012 in FIGS. 5 , 20 A- 20 C , or in another manner.
- the readout resonator devices 2204 A, 2204 B, 2204 C may be further coupled with respective qubit devices on quantum processor chips.
- the multiplexed Purcell filter 2202 may be connected to more than three readout resonator devices and thus can be configured for perform readout measurements on more than three qubit devices.
- geometric properties of the stub define the performance of the multiplexed Purcell filter 2202 for all the coupled readout resonator devices 2204 A, 2204 B, 2204 C, such that signal propagation at the resonator operating frequency is allowed and signal propagation at the qubit operating frequency is suppressed.
- the length of the stub defines the width of the example multiplexed Purcell filter 2202 shown in FIG. 22 A .
- the coupler devices 2206 A, 2206 B, 2206 C may be implemented in another manner, for example as inductive coupler devices.
- the example readout circuit 2210 includes three Purcell filters 2212 A, 2212 B, 2212 C, which are capacitively coupled to three readout resonator devices 2214 A, 2214 B, 2214 C through respective coupler devices 2216 A, 2216 B, 2216 C.
- the coupler devices 2216 A, 2216 B, 2216 C may be implemented as the coupler devices 2206 A, 2206 B, 2206 C in FIG. 22 A or in another manner.
- Each of the three Purcell filters 2212 A, 2212 B, 2212 C is a planar resonator which includes a transmission line with a central conductive line shaped in a meander-like structure.
- Each of the three Purcell filters 2212 A, 2212 B, 2212 C are configured to allow signal propagation at the resonator operating frequency and to suppress signal propagation at the qubit operating frequency.
- the three Purcell filters 2212 A, 2212 B, 2212 C are communicably coupled to a communication bus line 2219 through respective coupler devices 2218 A, 2218 B, 2218 C, which can be implemented as the coupler devices 2024 in FIGS. 20 A- 20 C , or in another manner.
- the readout resonator devices 2214 A, 2214 B, 2214 C may be implemented as the readout resonator devices 2204 A, 2204 B, 2204 C in FIG. 22 A or in another manner.
- the communication bus line 2219 can be further connected to a feedline/readout line.
- the example readout circuit 2220 includes three Purcell filters 2222 A, 2222 B, 2222 C, which are capacitively coupled to three readout resonator devices 2224 A, 2224 B, 2224 C through respective coupler devices 2226 A, 2226 B, 2226 C.
- the coupler devices 2226 A, 2226 B, 2226 C may be implemented as the coupler devices 2206 A, 2206 B, 2206 C in FIG. 22 A, 2216 A, 2216 B, 2216 C in FIG. 22 B , or in another manner.
- Each of the three Purcell filters 2222 A, 2222 B, 2222 C includes a network of linear elements including capacitors and inductors.
- Each of the three Purcell filters 2212 A, 2212 B, 2212 C are configured to allow signal propagation at the resonator operating frequency and to suppress signal propagation at the qubit operating frequency.
- the three Purcell filters 2222 A, 2222 B, 2222 C are communicably coupled to a communication bus line 2229 through respective coupler devices 2218 A, 2218 B, 2218 C, which can be implemented as the coupler devices 2024 in FIGS. 20 A- 20 C or in another manner.
- the readout resonator devices 2214 A, 2214 B, 2214 C may be implemented as the readout resonator devices 2204 A, 2204 B, 2204 C in FIG. 22 A or in another manner.
- the communication bus line 2229 may be implemented as the communication bus line 2219 in FIG. 22 B .
- a modular quantum processing unit includes multi-layered cap wafers with a plurality of layers and one or more of a plurality of Purcell filters, a plurality of frequency-specific filters, or a plurality of reflective attenuators.
- a quantum processing unit includes quantum processor chips attached to multi-layered cap wafers.
- Each of the quantum processor chips includes a plurality of qubit devices.
- the multi-layered cap wafers are configured to provide communication between the quantum processor chips and a control system.
- Each of the multi-layered cap wafers includes a wafer stack that defines a plurality of layers.
- the plurality of layers includes a first end layer residing closest to a respective quantum processor chip; a second end layer residing farthest from the respective quantum processor chip; and an intermediate layer residing between the first and second end layers.
- the intermediate layer includes one or more of the following: a plurality of Purcell filters, a plurality of frequency-specific filters, or a plurality of reflective attenuators.
- the number of items in each “plurality” of items may be the same or different; for example, there may be the same number of qubit devices and Purcell filters, or there may be different numbers of qubit devices and Purcell filters.
- Implementations of the first example may include one or more of the following features.
- Each of the multi-layered cap wafers includes a first cap wafer and a second cap wafer.
- the intermediate layer is disposed on at least one of the first and second cap wafers.
- Each of the plurality of Purcell filters includes a microwave transmission line.
- Each of the plurality of Purcell filters includes a network of linear resonators.
- the first end layer includes a first superconducting metallization layer
- each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the first superconducting metallization layer and the plurality of Purcell filters on the intermediate layer of the multi-layered cap wafer.
- the intermediate layer includes a plurality of respective capacitive coupler devices; and the first set of conductive through-hole vias is capacitively coupled to the plurality of Purcell filters through the plurality of respective capacitive coupler devices.
- the first end layer of each multi-layered cap wafer includes readout resonator devices and capacitive coupler devices; and the plurality of Purcell filters are communicably coupled with the respective readout resonator devices through the respective coupler devices.
- the coupler devices are inductive coupler devices.
- the coupler devices are capacitive coupler devices.
- the second end layer includes a second superconducting metallization layer; and each of the multi-layered cap wafers includes a second set of conductive through-hole vias that connect the second superconducting metallization layer and the plurality of Purcell filters on the intermediate layer.
- the first end layer includes flux bias control lines that communicate flux bias signals to the qubit devices; and each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the flux bias control lines and the plurality of frequency-specific filters on the intermediate layer of the multi-layered cap wafer.
- the first end layer includes microwave drive lines that communicate microwave drive signals to the qubit devices; and each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the microwave drive lines and the plurality of reflective attenuators on the intermediate layer of the multi-layered cap wafer.
- the second end layer includes input/output (I/O) interface devices.
- the first end layer includes control lines that communicate control signals to the qubit devices.
- Each of the quantum processor chips includes readout resonator devices and coupler devices; and the readout resonator devices are communicably coupled to the qubit devices through the respective coupler devices.
- the coupler devices are capacitive coupler devices.
- the first end layer includes second coupler devices; and the plurality of Purcell filters is communicably coupled to the readout resonator devices through the respective second coupler devices.
- the second coupler devices are capacitive coupler devices.
- the second coupler devices are inductive coupler devices.
- the plurality of qubit devices operates at respective qubit operating frequencies; the plurality of respective readout resonator devices operates at respective resonator operating frequency; and the plurality of respective Purcell filters is configured to suppress signal propagation at the respective qubit operating frequencies.
- the quantum processing unit includes a module integration plate.
- the quantum processor chips are disposed between the module integration plate and the multiple-layered cap wafers.
- the module integration plate includes recesses that house respective subsets of the quantum processor chips; and inter-module coupler devices that provide communication between the subsets of quantum processor chips housed in distinct recesses.
- the module integration plate is a silicon wafer.
- the module integration plate is a printed circuit board (PCB).
- a quantum information processing method includes processing quantum information by operation of the quantum processing unit of the first example.
- a quantum processing unit includes quantum processor chips attached to one or more multi-layered cap wafers, each quantum processor chip comprising a plurality of qubit devices.
- Each of the one or more multi-layered cap wafers includes signal lines that provide communication between at least one of the quantum processor chips and a control system.
- Each of the multi-layered cap wafers includes a wafer stack that defines a plurality of layers. At least one of the plurality of layers includes a plurality of Purcell filters communicably coupled to the plurality of qubit devices.
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Abstract
In a general aspect, a superconducting quantum processing unit (QPU) includes a plurality of multi-layered cap wafers. In some cases, a quantum processing unit includes quantum processor chips attached to multi-layered cap wafers. Each of the quantum processor chips includes a plurality of qubit devices. The multi-layered cap wafers are configured to provide communication between the quantum processor chips and a control system. Each of the multi-layered cap wafers includes a respective wafer stack that includes a plurality of layers. The plurality of layers of each respective wafer stack includes a first end layer residing closest to a respective quantum processor chip; a second end layer residing farthest from the respective quantum processor chip; and an intermediate layer residing between the first and second end layers. The intermediate layer includes at least one of: a plurality of Purcell filters, a plurality of reflective attenuators, or a plurality of frequency-specific filters.
Description
- This application claims priority to U.S. Provisional Patent Application No. 63/343,461, filed May 18, 2022, entitled “Multi-layered Cap Wafers for Modular Quantum Processing Units.” The above-referenced priority document is incorporated herein by reference in its entirety.
- The following description relates to integrating superconducting circuit quantum processor chips with multi-layered cap wafers to form modular quantum processing units.
- Quantum computers can perform computational tasks by storing and processing information within quantum states of quantum systems. For example, qubits (i.e., quantum bits) can be stored in, and represented by, an effective two-level sub-manifold of a quantum coherent physical system. A variety of physical systems have been proposed for quantum computing applications. Examples include superconducting circuits, trapped ions, spin systems and others.
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FIG. 1 is a block diagram of an example computing environment. -
FIG. 2 is a schematic diagram of a cross-sectional view of an example quantum processor module. -
FIG. 3A is a schematic diagram of an exploded view of an example quantum processor module. -
FIG. 3B is a schematic diagram of a perspective view of an example quantum processor module. -
FIGS. 4A-4B are schematic diagrams of a top view and a cross-sectional view of an example quantum processor module. -
FIG. 5 is a schematic diagram of a top view of an example cap wafer. -
FIG. 6A is a schematic diagram of a cross-sectional view of an example quantum processor module. -
FIG. 6B is a schematic diagram of a cross-sectional view of an example quantum processor module. -
FIG. 6C is a schematic diagram of an exploded view of an example quantum processor module. -
FIG. 7A are schematic diagrams of a perspective view and a cross-sectional view of an example cap wafer. -
FIG. 7B are schematic diagrams of a perspective view and a cross-sectional view of an example quantum processor chip. -
FIG. 7C are schematic diagrams of a perspective view and cross-sectional views of an example quantum processor module. -
FIG. 8 is a flow chart showing aspects of an example fabrication process. -
FIG. 9A is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit with a single cap wafer for multiple quantum processor chips. -
FIG. 9B is a schematic cross-sectional diagram showing aspects of the example modular quantum processing unit ofFIG. 9A . -
FIG. 10A is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit with one cap wafer for each of quantum processor chips. -
FIG. 10B is a cross-sectional schematic diagram showing aspects of the example modular quantum processing unit ofFIG. 10A . -
FIG. 11 is a flow chart showing aspects of an example manufacturing process of inter-module coupler devices on a substrate. -
FIG. 12A is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit. -
FIG. 12B is a flow chart showing aspects of an example fabrication process of assembling a modular quantum processing unit. -
FIG. 13 is a schematic diagram showing aspects of an example modular quantum processing unit. -
FIG. 14 is a schematic diagram showing aspects of an example modular quantum processing unit. -
FIG. 15 is a schematic diagram showing aspects of an example module integration plate. -
FIG. 16A is a flow chart showing aspects of an example process of manufacturing a substrate. -
FIG. 16B is a flow chart showing aspects of an example process of manufacturing a module integration plate. -
FIG. 17 shows perspective view and cross-section view (A-A′) of an example module integration plate. -
FIG. 18A shows exploded-view and assembled-view of an example modular quantum processing unit. -
FIG. 18B is a schematic diagram showing a perspective view of the example assembly of module integration plate, interposer, and thermalization substrate shown inFIG. 18A . -
FIGS. 19A-19C are schematic diagrams showing cross-sectional views of example quantum processor modules with multi-layered quantum processor chips. -
FIGS. 20A-20C are block diagrams showing aspects of example quantum processor modules with multi-layered quantum processor chips. -
FIG. 21 is a schematic diagram showing aspects of an example modular quantum processing unit. -
FIGS. 22A-22C are circuit diagrams showing aspects of example readout circuits. - In a general aspect, a modular quantum processing unit (QPU) includes one or more cap wafers and a plurality of quantum processor chips. Each cap wafer can include a wafer stack that defines a plurality of layers, and circuit elements can be deployed on one or more of the layers in the cap wafer. In some cases, an intermediate layer within the cap wafer includes one or more Purcell filters, reflective attenuators, frequency-specific filters, or a combination of these and other devices. The QPU may also include a module integration plate that includes inter-module coupling between the quantum processor chips.
- In some aspects of what is described here, a quantum processing unit includes a quantum processor chip with quantum circuit devices based on, for example, superconducting devices, and other superconducting circuitry. The quantum processing unit further includes a cap wafer bonded with the quantum processor chip. A cap wafer includes recesses, each of which is defined by a recessed surface and sidewalls. Recesses on the cap wafer form respective enclosures that house the respective quantum circuit devices on the quantum processor chip. The cap wafer may include various superconducting circuitry (e.g., the
214, 216, 218, 220 ofcircuitry FIG. 2 ) on various surfaces (e.g., thefirst surface 234, thesecond surface 236, the recessedsurface 238, and thesidewalls 240 ofFIG. 2 ) of the cap wafer, for example, to provide various types of functionality, which can improve performance of a quantum processing unit or provide other advantages. Further, the cap wafer may include other features, such as, for example, electrically conductive vias (e.g., the 222A, 222B ofconductive vias FIG. 2 ) that can be used to galvanically couple circuitry on various surfaces. - In some implementations, recesses in the cap wafer can provide technical advantages and improvements. In some instances, a participation ratio of electric fields around a quantum circuit device can be tuned to improve QPU performance attributes, such as coherence times, flux cross-talk, gate fidelity, or another performance parameter. For example, a participation ratio can be tuned by controlling a depth of a recess and thus the distance between a ground plane disposed on a recessed surface of the recess and a respective quantum circuit device enclosed by the recess.
- In some implementations, various circuitry on a cap wafer may include a variety of circuit elements to control or readout quantum circuit devices on a quantum processor chip. Circuit elements on a cap wafer may be disposed on multiple layers of a cap wafer, for example, on end layers (the outermost layers of the cap wafer), on intermediate layers (layers defined within the cap wafer, between the end wafers) or both. For example, a cap wafer may include flux bias lines that can be inductively coupled to quantum circuit devices on a quantum processor chip to provide magnetic flux locally, for example, to tune their frequencies. A cap wafer may also include microwave lines which can be capacitively coupled to quantum circuit devices, for example, to control qubits. In some examples, a cap wafer includes microwave resonator devices which can be capacitively coupled to quantum circuit devices, for example, to the
readout resonator devices 500 shown inFIG. 5 . In certain instances, other circuit elements, such as filters, isolators, circulators, or amplifiers, which would otherwise be deployed in an external module or package, can be included in the cap wafer. In some implementations, the multiple layers of the cap wafer are formed on one another in a sequence of processes (e.g., patterning each cap wafer and bond cap wafers to one another to form the multi-layered cap wafer). In some implementations, the layers within each cap wafer are oriented parallel to one another, and the layers are oriented parallel to the quantum processor chip when the cap wafer is bonded to the quantum processor chip. - In some instances, control signals can be supplied to quantum circuit devices on a quantum processor chip (e.g., galvanically, capacitively, or inductively) through circuitry, electrically conductive vias, and/or bonding bumps on a cap wafer. Therefore, the methods and techniques presented here can free up space on a quantum processor chip allowing for more dense quantum circuits and reduce the number of interconnections. In some instances, a cap wafer can provide opportunities to simplify the circuit design and improve the yield of a quantum integrated circuit (QuIC) on a quantum processor chip.
- In some instances, ground planes can be included on a cap wafer, which may allow better isolations of quantum circuit devices on a quantum processor chip. Ground planes on a cap wafer can be used to guide, disperse, and remove supercurrents away from quantum circuit devices. Consequently, unpredictable non-localized interactions, flux crosstalk, and coherent error caused by the propagation of the supercurrents can be reduced.
- In some implementations, the systems and techniques described here can provide improved protection for quantum circuit devices on a quantum processor chip. For example, a conductive layer can be formed on a recessed surface and sidewalls of a recess on a cap wafer, which, when being arranged around a quantum circuit device of a quantum processor chip, can effectively form a Faraday cage that reduces electrical noise. For another example, a superconducting layer can be formed on a recessed surface and sidewalls of a recess, which, when being arranged around a quantum circuit device, can be used as a magnetic shield to reduce the impact of stray magnetic fields on the quantum circuit device. In some instances, a cap wafer could provide protection to quantum circuit devices from other sources of interference and noise, including electromagnetic pulse damage, electrostatic discharge, ionizing radiation, and/or thermal radiation. For example, a cap wafer could also improve the performance of Radio Frequency Monolithic Microwave Integrated Circuit (RF MMIC) chips by reducing interference, either from the MMIC itself or from neighboring RF circuitry. For instance, a cap wafer can include a barrier layer for reflecting thermal radiation to reduce heat load on quantum circuit devices. In addition, a cap wafer may include thermal pathways to improve heatsinking. In some instances, an antenna or an array of antennas may be included on a cap wafer for the RF-MMIC chips on a quantum processor chip, where dimensions of the antenna and the RF-MMIC chip become comparable.
- In some implementations, a modular quantum processing unit includes one or more quantum processor modules and one or more module integration plates that include inter-module coupler devices. A module integration plate may provide spatial alignment of the quantum processor modules in an array, and functional connectivity between, quantum processor modules; as such, a module integration plate may serve as an inter-module coupler structure and may also serve other functions. Each of the quantum processor modules includes a first plurality of quantum processor chips and a second plurality of cap wafers. Each of the one or more module integration plates includes recesses and inter-module coupler devices. Each of the recesses can be configured to house quantum processor chips; and each of the inter-module coupler devices can be configured to communicably couple quantum processor chips housed in distinct recesses. In some implementations, each of the module integration plates includes through-hole vias and cavities which allows integration with other components of the modular quantum processing unit, e.g., an interposer and a thermalization substrate. Each of the recesses can be configured to house one or more quantum processor chips.
FIG. 17 shows an example of a module integration plate which includes four recesses, and each recess is configured to house two quantum processor chips attached to the same cap wafer. - In some implementations, the systems and techniques described here can provide advantages. For example, the module integration plate can be implemented as a monolithic solid unit which can simplify processing steps to interconnect multiple quantum processor chips. A module integration plate, an interposer and a thermalization substrate may improve the tolerance in mechanical variations (e.g., curvature, thickness, etc.) during the assembling process. An interposer with spring-loaded pin connections can also reduce or avoid formation of a chip-mode resonance and to mitigate unwanted modes (e.g., coupled slotline mode, parallel-plate waveguide modes, or resonant patch mode). The thermalization substrate can effectively dissipate heat generated from the quantum processor chips to regulate operation temperature of the quantum processor chips. In some cases, a combination of these and potentially other advantages and improvements may be obtained.
- In some implementations, a modular quantum processing unit (QPU) includes one or more multi-layered cap wafers and a plurality of quantum processor chips that are connected to each other. The QPU may also include a module integration plate that provides inter-module coupling between the quantum processor chips. A multi-layered cap wafer includes multiple metallization layers, e.g., first and second end layers, and at least one intermediate layer residing between the first and second end layers. The first end layer of the multi-layered quantum processor chip resides closest to the quantum processor chip; and the second end layer of the multi-layered quantum processor chip resides farthest from the quantum processor chip. In some instances, the multiple metallization layers in the multi-layered cap model are connected to each other by interconnections, e.g., conductive through-hole vias, bonding bumps, capacitive electrodes, or other types of interconnections.
- A quantum state of a qubit device on the quantum processor chip can be controlled and measured. For example, a qubit device on the quantum processor chip may be capacitively coupled to a readout resonator on a readout line. The multi-layered cap wafers may include a Purcell filter (e.g., a microwave frequency-selective filter to suppress the Purcell effect) between the measurement line and the readout resonator that is associated with the qubit device. The Purcell filter can be configured to suppress signal propagation at a qubit operating frequency of the qubit device (to extend coherence time) and to allow signal propagation at a resonator operating frequency of the readout resonator (to increase readout measurement speed). In some implementations, Purcell filters reside on at least one intermediate layer of the multi-layered cap wafer; and readout resonators may reside on the quantum processor chip, on the first end layer of the multi-layered cap wafer, or a combination of these and other locations. Each Purcell filter may be connected (e.g., capacitively or inductively) to a corresponding readout resonator and a corresponding measurement line. For another example, a qubit device may be inductively or capacitively coupled to a frequency-specific filter on a flux bias control line, a reflective attenuator on a microwave drive line or other microwave circuit elements on other control lines. In some cases, the intermediate layer of the multi-layered cap wafers may also include the frequency-specific filters, the reflective attenuators, or the other microwave circuit elements.
- In some implementations, the systems and techniques described here can provide advantages. For example, a Purcell filter that allows transmission at the readout resonator operating frequency but blocks transmission at the qubit operating frequency may increase the resonator-feedline coupling for faster/higher-fidelity readout without sacrificing performance. For another example, a reflective attenuator or a frequency-specific filter is configured to confine the qubit energy on the quantum processor chip; block signals at qubit operating frequencies; reduce losses from the qubit devices; and improve lifetime of qubit modes; and improve coherence time. A multi-layered cap wafer can provide additional space for microwave circuit elements including Purcell filters, frequency-specific filters, and reflective attenuators with larger feature sizes to reduce fabrication variability, to improve frequency accuracy and reliability. In some instances, a multi-layered cap wafer can allow further increasing the spatial density of qubit devices in a quantum processor chip and thus, can facilitate the formation of highly integrated modular quantum processing units. In some cases, a combination of these and potentially other advantages and improvements may be obtained.
-
FIG. 1 is a block diagram of anexample computing environment 100. Theexample computing environment 100 shown inFIG. 1 includes acomputing system 101 and 110A, 110B, 110C. A computing environment may include additional or different features, and the components of a computing environment may operate as described with respect touser devices FIG. 1 or in another manner. - The
example computing system 101 includes classical and quantum computing resources and exposes their functionality to the 110A, 110B, 110C (referred to collectively as “user devices 110”). Theuser devices computing system 101 shown inFIG. 1 includes one ormore servers 108, 103A, 103B, aquantum computing systems local network 109 andother resources 107. Thecomputing system 101 may also include one or more user devices (e.g., theuser device 110A) as well as other features and components. A computing system may include additional or different features, and the components of a computing system may operate as described with respect toFIG. 1 or in another manner. - The
example computing system 101 can provide services to the user devices 110, for example, as a cloud-based or remote-accessed computer system, as a distributed computing resource, as a supercomputer or another type of high-performance computing resource, or in another manner. Thecomputing system 101 or the user devices 110 may also have access to one or more other quantum computing systems (e.g., quantum computing resources that are accessible through thewide area network 115, thelocal network 109, or otherwise). - The user devices 110 shown in
FIG. 1 may include one or more classical processors, memory, user interfaces, communication interfaces, and other components. For instance, the user devices 110 may be implemented as laptop computers, desktop computers, smartphones, tablets, or other types of computer devices. In the example shown inFIG. 1 , to access computing resources of thecomputing system 101, the user devices 110 send information (e.g., programs, instructions, commands, requests, input data, etc.) to theservers 108; and in response, the user devices 110 receive information (e.g., application data, output data, prompts, alerts, notifications, results, etc.) from theservers 108. The user devices 110 may access services of thecomputing system 101 in another manner, and thecomputing system 101 may expose computing resources in another manner. - In the example shown in
FIG. 1 , thelocal user device 110A operates in a local environment with theservers 108 and other elements of thecomputing system 101. For instance, theuser device 110A may be co-located with (e.g., located within 0.5 to 1 km of) theservers 108 and possibly other elements of thecomputing system 101. As shown inFIG. 1 , theuser device 110A communicates with theservers 108 through a local data connection. - The local data connection in
FIG. 1 is provided by thelocal network 109. For example, some or all of theservers 108, theuser device 110A, the 103A, 103B and thequantum computing systems other resources 107 may communicate with each other through thelocal network 109. In some implementations, thelocal network 109 operates as a communication channel that provides one or more low-latency communication pathways from theserver 108 to the 103A, 103B (or to one or more of the elements of thequantum computer systems 103A, 103B). Thequantum computer systems local network 109 can be implemented, for instance, as a wired or wireless Local Area Network, an Ethernet connection, or another type of wired or wireless connection. Thelocal network 109 may include one or more wired or wireless routers, wireless access points (WAPs), wireless mesh nodes, switches, high-speed cables, or a combination of these and other types of local network hardware elements. In some cases, thelocal network 109 includes a software-defined network that provides communication among virtual resources, for example, among an array of virtual machines operating on theserver 108 and possibly elsewhere. - In the example shown in
FIG. 1 , the 110B, 110C operate remote from theremote user devices servers 108 and other elements of thecomputing system 101. For instance, the 110B, 110C may be located at a remote distance (e.g., more than 1 km, 10 km, 100 km, 1,000 km, 10,000 km, or farther) from theuser devices servers 108 and possibly other elements of thecomputing system 101. As shown inFIG. 1 , each of the 110B, 110C communicates with theuser devices servers 108 through a remote data connection. - The remote data connection in
FIG. 1 is provided by awide area network 115, which may include, for example, the Internet or another type of wide area communication network. In some cases, remote user devices use another type of remote data connection (e.g., satellite-based connections, a cellular network, a virtual private network, etc.) to access theservers 108. Thewide area network 115 may include one or more internet servers, firewalls, service hubs, base stations, or a combination of these and other types of remote networking elements. Generally, thecomputing environment 100 can be accessible to any number of remote user devices. - The
example servers 108 shown inFIG. 1 can manage interaction with the user devices 110 and utilization of the quantum and classical computing resources in thecomputing system 101. For example, based on information from the user devices 110, theservers 108 may delegate computational tasks to the 103A, 103B and thequantum computing systems other resources 107; theservers 108 can then send information to the user devices 110 based on output data from the computational tasks performed by the 103A, 103B and thequantum computing systems other resources 107. - As shown in
FIG. 1 , theservers 108 are classical computing resources that includeclassical processors 111 andmemory 112. Theservers 108 may also include one or more communication interfaces that allow the servers to communicate via thelocal network 109, thewide area network 115, and possibly other channels. In some implementations, theservers 108 may include a host server, an application server, a virtual server, or a combination of these and other types of servers. Theservers 108 may include additional or different features, and may operate as described with respect toFIG. 1 or in another manner. - The
classical processors 111 can include various kinds of apparatus, devices, and machines for processing data, including, by way of example, a microprocessor, a central processing unit (CPU), a graphics processing unit (GPU), an FPGA (field programmable gate array), an ASIC (application specific integrated circuit), or combinations of these. Thememory 112 can include, for example, a random access memory (RAM), a storage device (e.g., a writable read-only memory (ROM) or others), a hard disk, or another type of storage medium. Thememory 112 can include various forms of volatile or non-volatile memory, media and memory devices, etc. - Each of the example
103A, 103B operates as a quantum computing resource in thequantum computing systems computing system 101. Theother resources 107 may include additional quantum computing resources (e.g., quantum computing systems, quantum virtual machines (QVMs) or quantum simulators) as well as classical (non-quantum) computing resources such as, for example, digital microprocessors, specialized co-processor units (e.g., graphics processing units (GPUs), cryptographic co-processors, etc.), special purpose logic circuitry (e.g., field programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), etc.), systems-on-chips (SoCs), etc., or combinations of these and other types of computing modules. - In some implementations, the
servers 108 generate programs, identify appropriate computing resources (e.g., a QPU or QVM) in thecomputing system 101 to execute the programs, and send the programs to the identified resources for execution. For example, theservers 108 may send programs to thequantum computing system 103A, thequantum computing system 103B, or any of theother resources 107. The programs may include classical programs, quantum programs, hybrid classical/quantum programs, and may include any type of function, code, data, instruction set, etc. - In some instances, programs can be formatted as source code that can be rendered in human-readable form (e.g., as text) and can be compiled, for example, by a compiler running on the
servers 108, on the quantum computing systems 103, or elsewhere. In some instances, programs can be formatted as compiled code, such as, for example, binary code (e.g., machine-level instructions) that can be executed directly by a computing resource. Each program may include instructions corresponding to computational tasks that, when performed by an appropriate computing resource, generate output data based on input data. For example, a program can include instructions formatted for a quantum computer system, a quantum virtual machine, a digital microprocessor, co-processor or other classical data processing apparatus, or another type of computing resource. - In some cases, a program may be expressed in a hardware-independent format. For example, quantum machine instructions may be provided in a quantum instruction language such as Quil, described in the publication “A Practical Quantum Instruction Set Architecture,” arXiv:1608.03355v2, dated Feb. 17, 2017, or another quantum instruction language. For instance, the quantum machine instructions may be written in a format that can be executed by a broad range of quantum processing units or quantum virtual machines. In some cases, a program may be expressed in high-level terms of quantum logic gates or quantum algorithms, in lower-level terms of fundamental qubit rotations and controlled rotations, or in another form. In some cases, a program may be expressed in terms of control signals (e.g., pulse sequences, delays, etc.) and parameters for the control signals (e.g., frequencies, phases, durations, channels, etc.). In some cases, a program may be expressed in another form or format.
- In some implementations, the
servers 108 include one or more compilers that convert programs between formats. For example, theservers 108 may include a compiler that converts hardware-independent instructions to binary programs for execution by the 103A, 103B. In some cases, a compiler can compile a program to a format that targets a specific quantum resource in thequantum computing systems computer system 101. For example, a compiler may generate a different binary program (e.g., from the same source code) depending on whether the program is to be executed by thequantum computing system 103A or thequantum computing system 103B. - In some cases, a compiler generates a partial binary program that can be updated, for example, based on specific parameters. For instance, if a quantum program is to be executed iteratively on a quantum computing system with varying parameters on each iteration, the compiler may generate the binary program in a format that can be updated with specific parameter values at runtime (e.g., based on feedback from a prior iteration, or otherwise). In some cases, a compiler generates a full binary program that does not need to be updated or otherwise modified for execution.
- In some implementations, the
servers 108 generate a schedule for executing programs, allocate computing resources in thecomputing system 101 according to the schedule, and delegate the programs to the allocated computing resources. Theservers 108 can receive, from each computing resource, output data from the execution of each program. Based on the output data, theservers 108 may generate additional programs that are then added to the schedule, output data that is provided back to a user device 110, or perform another type of action. - In some implementations, all or part of the computing environment operates as a cloud-based quantum computing (QC) environment, and the
servers 108 operate as a host system for the cloud-based QC environment. The cloud-based QC environment may include software elements that operate on both the user devices 110 and thecomputer system 101 and interact with each other over thewide area network 115. For example, the cloud-based QC environment may provide a remote user interface, for example, through a browser or another type of application on the user devices 110. The remote user interface may include, for example, a graphical user interface or another type of user interface that obtains input provided by a user of the cloud-based QC environment. In some cases the remote user interface includes, or has access to, one or more application programming interfaces (APIs), command line interfaces, graphical user interfaces, or other elements that expose the services of thecomputer system 101 to the user devices 110. - In some cases, the cloud-based QC environment may be deployed in a “serverless” computing architecture. For instance, the cloud-based QC environment may provide on-demand access to a shared pool of configurable computing resources (e.g., networks, servers, storage, applications, services, quantum computing resources, classical computing resources, etc.) that can be provisioned for requests from user devices 110. Moreover, the cloud-based computing systems 104 may include or utilize other types of computing resources, such as, for example, edge computing, fog computing, etc.
- In an example implementation of a cloud-based QC environment, the
servers 108 may operate as a cloud provider that dynamically manages the allocation and provisioning of physical computing resources (e.g., GPUs, CPUs, QPUs, etc.). Accordingly, theservers 108 may provide services by defining virtualized resources for each user account. For instance, the virtualized resources may be formatted as virtual machine images, virtual machines, containers, or virtualized resources that can be provisioned for a user account and configured by a user. In some cases, the cloud-based QC environment is implemented using a resource such as, for example, OPENSTACK®. OPENSTACK® is an example of a software platform for cloud-based computing, which can be used to provide virtual servers and other virtual computing resources for users. - In some cases, the
server 108 stores quantum machine images (QMI) for each user account. A quantum machine image may operate as a virtual computing resource for users of the cloud-based QC environment. For example, a QMI can provide a virtualized development and execution environment to develop and run programs (e.g., quantum programs or hybrid classical/quantum programs). When a QMI operates on theserver 108, the QMI may engage either of the 102A, 102B, and interact with a remote user device (110B or 110C) to provide a user programming environment. The QMI may operate in close physical proximity to, and have a low-latency communication link with thequantum processor units 103A, 103B. In some implementations, remote user devices connect with QMIs operating on thequantum computing systems servers 108 through secure shell (SSH) or other protocols over thewide area network 115. - In some implementations, all or part of the
computing system 101 operates as a hybrid computing environment. For example, quantum programs can be formatted as hybrid classical/quantum programs that include instructions for execution by one or more quantum computing resources and instructions for execution by one or more classical resources. Theservers 108 can allocate quantum and classical computing resources in the hybrid computing environment, and delegate programs to the allocated computing resources for execution. The quantum computing resources in the hybrid environment may include, for example, one or more quantum processing units (QPUs), one or more quantum virtual machines (QVMs), one or more quantum simulators, or possibly other types of quantum resources. The classical computing resources in the hybrid environment may include, for example, one or more digital microprocessors, one or more specialized co-processor units (e.g., graphics processing units (GPUs), cryptographic co-processors, etc.), special purpose logic circuitry (e.g., field programmable gate arrays (FPGAs), application-specific integrated circuits (ASICs), etc.), systems-on-chips (SoCs), or other types of computing modules. - In some cases, the
servers 108 can select the type of computing resource (e.g., quantum or classical) to execute an individual program, or part of a program, in thecomputing system 101. For example, theservers 108 may select a particular quantum processing unit (QPU) or other computing resource based on availability of the resource, speed of the resource, information or state capacity of the resource, a performance metric (e.g., process fidelity) of the resource, or based on a combination of these and other factors. In some cases, theservers 108 can perform load balancing, resource testing and calibration, and other types of operations to improve or optimize computing performance. - Each of the example
103A, 103B shown inquantum computing systems FIG. 1 can perform quantum computational tasks by executing quantum machine instructions (e.g., a binary program compiled for the quantum computing system). In some implementations, a quantum computing system can perform quantum computation by storing and manipulating information within quantum states of a composite quantum system. For example, qubits (i.e., quantum bits) can be stored in, and represented by, an effective two-level sub-manifold of a quantum coherent physical system. In some instances, quantum logic can be executed in a manner that allows large-scale entanglement within the quantum system. Control signals can manipulate the quantum states of individual qubits and the joint states of multiple qubits. In some instances, information can be read out from the composite quantum system by measuring the quantum states of the qubits. In some implementations, the quantum states of the qubits are read out by measuring the transmitted or reflected signal from auxiliary quantum devices that are coupled to individual qubits. - In some implementations, a quantum computing system can operate using gate-based models for quantum computing. For example, the qubits can be initialized in an initial state, and a quantum logic circuit comprised of a series of quantum logic gates can be applied to transform the qubits and extract measurements representing the output of the quantum computation. Individual qubits may be controlled by single-qubit quantum logic gates, and pairs of qubits may be controlled by two-qubit quantum logic gates (e.g., entangling gates that are capable of generating entanglement between the pair of qubits). In some implementations, a quantum computing system can operate using adiabatic or annealing models for quantum computing. For instance, the qubits can be initialized in an initial state, and the controlling Hamiltonian can be transformed adiabatically by adjusting control parameters to another state that can be measured to obtain an output of the quantum computation.
- In some models, fault-tolerance can be achieved by applying a set of high-fidelity control and measurement operations to the qubits. For example, quantum error correcting schemes can be deployed to achieve fault-tolerant quantum computation. Other computational regimes may be used; for example, quantum computing systems may operate in non-fault-tolerant regimes. In some implementations, a quantum computing system is constructed and operated according to a scalable quantum computing architecture. For example, in some cases, the architecture can be scaled to a large number of qubits to achieve large-scale general purpose coherent quantum computing. Other architectures may be used; for example, quantum computing systems may operate in small-scale or non-scalable architectures.
- The example
quantum computing system 103A shown inFIG. 1 includes aquantum processing unit 102A and acontrol system 105A, which controls the operation of thequantum processing unit 102A. Similarly, the examplequantum computing system 103B includes aquantum processing unit 102B and acontrol system 105B, which controls the operation of aquantum processing unit 102B. A quantum computing system may include additional or different features, and the components of a quantum computing system may operate as described with respect toFIG. 1 or in another manner. - In some instances, all or part of the
quantum processing unit 102A functions as a quantum processor, a quantum memory, or another type of subsystem. In some examples, thequantum processing unit 102A includes a quantum circuit system. The quantum circuit system may include qubit devices, readout devices, and possibly other devices that are used to store and process quantum information. In some cases, thequantum processing unit 102A includes a superconducting circuit, and the qubit devices are implemented as circuit devices that include Josephson junctions, for example, in superconducting quantum interference device (SQUID) loops or other arrangements, and are controlled by radio-frequency signals, microwave signals, and bias signals delivered to thequantum processing unit 102A. In some cases, thequantum processing unit 102A includes an ion trap system, and the qubit devices are implemented as trapped ions controlled by optical signals delivered to thequantum processing unit 102A. In some cases, thequantum processing unit 102A includes a spin system, and the qubit devices are implemented as nuclear or electron spins controlled by microwave or radio-frequency signals delivered to thequantum processing unit 102A. Thequantum processing unit 102A may be implemented based on another physical modality of quantum computing. - The
quantum processing unit 102A may include, or may be deployed within, a controlled environment. The controlled environment can be provided, for example, by shielding equipment, cryogenic equipment, and other types of environmental control systems. In some examples, the components in thequantum processing unit 102A operate in a cryogenic temperature regime and are subject to very low electromagnetic and thermal noise. For example, magnetic shielding can be used to shield the system components from stray magnetic fields, optical shielding can be used to shield the system components from optical noise, thermal shielding and cryogenic equipment can be used to maintain the system components at controlled temperature, etc. - In some implementations, the example
quantum processing unit 102A can process quantum information by applying control signals to the qubits in thequantum processing unit 102A. The control signals can be configured to encode information in the qubits, to process the information by performing quantum logic gates or other types of operations, or to extract information from the qubits. In some examples, the operations can be expressed as single-qubit quantum logic gates, two-qubit quantum logic gates, or other types of quantum logic gates that operate on one or more qubits. A quantum logic circuit, which includes a sequence of quantum logic operations, can be applied to the qubits to perform a quantum algorithm. The quantum algorithm may correspond to a computational task, a hardware test, a quantum error correction procedure, a quantum state distillation procedure, or a combination of these and other types of operations. - The
quantum processing unit 102A may include a quantum processor chip and a cap wafer that are bonded together, for example, using bonding bumps or in another manner. In some instances, the quantum processor chip contains a superconducting circuit with one or more quantum circuit devices. In some instances, the cap wafer contains one or more recesses, each defined by a recessed surface and sidewalls. The cap wafer may also contain various superconducting circuitry disposed at various locations, for example, on the recessed surface of the recess, the sidewalls, the front and back surfaces. The various superconducting circuitry of the cap wafer can provide various functionality. For example, a cap wafer may include circuitry for inductively, capacitively, or galvanically coupling two or more quantum circuit devices on one or more quantum processor chips. Circuitry may include a variety of circuit elements to control or readout quantum circuit devices (e.g., qubit devices). For instance, circuitry on a cap wafer may include coupling lines, microwave lines, microwave feedlines, flux bias lines, combined flux bias and microwave lines, tunable-frequency coupler devices, resonator devices, filters, isolators, circulators, amplifiers, or other circuit elements. In some instances, circuitry at different positions of a cap wafer may be connected through conductive pathways on one or more sidewalls of recesses or through conductive vias through the substrate of the cap wafer. In some implementations, the quantum processor chip and the cap wafer may be implemented as any one of the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, or 730 andquantum processor chips 212, 304, 324, 404, 500, 604, 634, 674, or 718 as shown inexample cap wafers FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C , or 7A-7C. In some instances, a cap wafer may be communicably coupled to thecontrol system 105A, e.g., to receive control signals or transmit readout signals. - In some implementations, the example quantum processing unit 102 is a modular quantum processing unit that includes multiple quantum processor chipprocessor chips. For example, the quantum processing unit 102 may include a two-dimensional or three-dimensional array of quantum processor chips, and each quantum processor chip may include an array of quantum circuit devices. In some cases, the quantum processor chips are supported on a common substrate, and they are interconnected through circuitry (e.g., superconducting circuitry) on the common substrate.
- In some instances, each of the quantum processor chips can include a superconducting quantum integrated circuit (QuIC) that includes one or more quantum circuit devices and superconductive lines that connect the one or more quantum circuit devices. For instance, each quantum processor chip may include qubit devices, readout resonator devices, tunable-frequency coupler devices, capacitive coupler devices, or other quantum circuit devices. Each quantum processor chip may include flux bias control lines, microwave drive lines, readout signal lines, or other types of control lines for providing control signals to respective quantum circuit devices. In some implementations, quantum processor chips can be coupled to each other by inter-module coupler devices in one or more cap wafers. For example, a first qubit device on a first quantum processor chip may be capacitively coupled to a tunable-frequency coupler device, which is capacitively coupled to a second qubit device on a second quantum processor chip. In some implementations, the tunable-frequency coupler device resides on the first quantum processor chip. In this case, the tunable-frequency coupler device is coupled to the second qubit device through a microwave transmission line on a cap wafer. In some implementations, at least a portion of a tunable-frequency coupler device resides on a cap wafer. In certain implementations, a tunable-frequency coupler device includes a lossless resonator structure. For example, a lossless resonator structure of a tunable-frequency coupler device may include a superconducting loop and a shunt capacitor. In some cases, a portion of the shunt capacitor (e.g., one capacitor electrode) in the tunable-frequency coupler device may reside on the cap wafer.
- In some implementations, a cap wafer and a quantum processor chip in a modular
quantum processing unit 102A are bonded together, for example, by bonding bumps or another type of bond. In some instances, the cap wafer contains one or more recesses, each defined by a recessed surface and sidewalls. When a cap wafer and a quantum processor chip are bonded together, a recess on the cap wafer can house a qubit device on the quantum processor chip. The cap wafer may also contain various superconducting circuitry. Circuitry may include a variety of superconducting circuit elements to control or readout quantum circuit devices (e.g., qubit devices). For instance, circuitry on a cap wafer may include coupling lines, microwave drive lines, microwave feedlines, flux bias lines, tunable-frequency coupler devices, or other circuit elements. In some instances, a cap wafer may be communicably coupled to the control system 105, e.g., to receive control signals or transmit readout signals. - The
example control system 105A includescontrollers 106A andsignal hardware 104A. Similarly,control system 105B includescontrollers 106B andsignal hardware 104B. All or part of the 105A, 105B can operate in a room-temperature environment or another type of environment, which may be located near the respectivecontrol systems 102A, 102B. In some cases, thequantum processing units 105A, 105B include classical computers, signaling equipment (microwave, radio, optical, bias, etc.), electronic systems, vacuum control systems, refrigerant control systems, or other types of control systems that support operation of thecontrol systems 102A, 102B.quantum processing units - The
105A, 105B may be implemented as distinct systems that operate independent of each other. In some cases, thecontrol systems 105A, 105B may include one or more shared elements; for example, thecontrol systems 105A, 105B may operate as a single control system that operates bothcontrol systems 102A, 102B. Moreover, a single quantum computer system may include multiple quantum processing units, which may operate in the same controlled (e.g., cryogenic) environment or in separate environments.quantum processing units - The
example signal hardware 104A includes components that communicate with thequantum processing unit 102A. Thesignal hardware 104A may include, for example, waveform generators, amplifiers, digitizers, high-frequency sources, DC sources, AC sources, etc. The signal hardware may include additional or different features and components. In the example shown, components of thesignal hardware 104A are adapted to interact with thequantum processing unit 102A. For example, thesignal hardware 104A can be configured to operate in a particular frequency range, configured to generate and process signals in a particular format, or the hardware may be adapted in another manner. - In some instances, one or more components of the
signal hardware 104A generate control signals, for example, based on control information from thecontrollers 106A. The control signals can be delivered to thequantum processing unit 102A during operation of thequantum computing system 103A. For instance, thesignal hardware 104A may generate signals to implement quantum logic operations, readout operations, or other types of operations. As an example, thesignal hardware 104A may include arbitrary waveform generators (AWGs) that generate electromagnetic waveforms (e.g., microwave or radio-frequency) or laser systems that generate optical waveforms. The waveforms or other types of signals generated by thesignal hardware 104A can be delivered to devices in thequantum processing unit 102A to operate qubit devices, readout devices, bias devices, coupler devices, or other types of components in thequantum processing unit 102A. - In some instances, the
signal hardware 104A receives and processes signals from thequantum processing unit 102A. The received signals can be generated by the execution of a quantum program on thequantum computing system 103A. For instance, thesignal hardware 104A may receive signals from the devices in thequantum processing unit 102A in response to readout or other operations performed by thequantum processing unit 102A. Signals received from thequantum processing unit 102A can be mixed, digitized, filtered, or otherwise processed by thesignal hardware 104A to extract information, and the information extracted can be provided to thecontrollers 106A or handled in another manner. In some examples, thesignal hardware 104A may include a digitizer that digitizes electromagnetic waveforms (e.g., microwave or radio-frequency) or optical signals, and a digitized waveform can be delivered to thecontrollers 106A or to other signal hardware components. In some instances, thecontrollers 106A process the information from thesignal hardware 104A and provide feedback to thesignal hardware 104A; based on the feedback, thesignal hardware 104A can in turn generate new control signals that are delivered to thequantum processing unit 102A. - In some implementations, the
signal hardware 104A includes signal delivery hardware that interfaces with thequantum processing unit 102A. For example, thesignal hardware 104A may include filters, attenuators, directional couplers, multiplexers, diplexers, bias components, signal channels, isolators, amplifiers, power dividers and other types of components. In some instances, the signal delivery hardware performs preprocessing, signal conditioning, or other operations to the control signals to be delivered to thequantum processing unit 102A. In some instances, signal delivery hardware performs preprocessing, signal conditioning or other operations on readout signals received from thequantum processing unit 102A. - The
example controllers 106A communicate with thesignal hardware 104A to control operation of thequantum computing system 103A. Thecontrollers 106A may include classical computing hardware that directly interface with components of thesignal hardware 104A. Theexample controllers 106A may include classical processors, memory, clocks, digital circuitry, analog circuitry, and other types of systems or subsystems. The classical processors may include one or more single- or multi-core microprocessors, digital electronic controllers, special purpose logic circuitry, e.g., an FPGA (field programmable gate array) or an ASIC (application specific integrated circuit), or other types of data processing apparatus. The memory may include any type of volatile or non-volatile memory, or another type of computer storage medium. Thecontrollers 106A may also include one or more communication interfaces that allow thecontrollers 106A to communicate via thelocal network 109 and possibly other channels. Thecontrollers 106A may include additional or different features and components. - In some implementations, the
controllers 106A include memory or other components that store quantum state information, for example, based on qubit readout operations performed by thequantum computing system 103A. For instance, the states of one or more qubits in thequantum processing unit 102A can be measured by qubit readout operations, and the measured state information can be stored in a cache or other type of memory system in one or more of thecontrollers 106A. In some cases, the measured state information is subsequently used in the execution of a quantum program, a quantum error correction procedure, a quantum processing unit (QPU) calibration or testing procedure, or another type of quantum process. - In some implementations, the
controllers 106A include memory or other components that store a quantum program containing quantum machine instructions for execution by thequantum computing system 103A. In some instances, thecontrollers 106A can interpret the quantum machine instructions and perform hardware-specific control operations according to the quantum machine instructions. For example, thecontrollers 106A may cause thesignal hardware 104A to generate control signals that are delivered to thequantum processing unit 102A to execute the quantum machine instructions. - In some instances, the
controllers 106A extract qubit state information from qubit readout signals, for example, to identify the quantum states of qubits in thequantum processing unit 102A or for other purposes. For example, the controllers may receive the qubit readout signals (e.g., in the form of analog waveforms) from thesignal hardware 104A, digitize the qubit readout signals, and extract qubit state information from the digitized signals. In some cases, thecontrollers 106A compute measurement statistics based on qubit state information from multiple shots of a quantum program. For example, each shot may produce a bitstring representing qubit state measurements for a single execution of the quantum program, and a collection of bitstrings from multiple shots may be analyzed to compute quantum state probabilities. - In some implementations, the
controllers 106A include one or more clocks that control the timing of operations. For example, operations performed by thecontrollers 106A may be scheduled for execution over a series of clock cycles, and clock signals from one or more clocks can be used to control the relative timing of each operation or groups of operations. In some implementations, thecontrollers 106A may include classical computer resources that perform some or all of the operations of theservers 108 described above. For example, thecontrollers 106A may operate a compiler to generate binary programs (e.g., full or partial binary programs) from source code; thecontrollers 106A may include an optimizer that performs classical computational tasks of a hybrid classical/quantum program; thecontrollers 106A may update binary programs (e.g., at runtime) to include new parameters based on an output of the optimizer, etc. - The other
quantum computer system 103B and its components (e.g., thequantum processing unit 102B, thesignal hardware 104B andcontrollers 106B) can be implemented as described above with respect to thequantum computer system 103A; in some cases, thequantum computer system 103B and its components may be implemented or may operate in another manner. - In some implementations, the
103A, 103B are disparate systems that provide distinct modalities of quantum computation. For example, thequantum computer systems computer system 101 may include both an adiabatic quantum computer system and a gate-based quantum computer system. As another example, thecomputer system 101 may include a superconducting circuit-based quantum computer system and an ion trap-based quantum computer system. In such cases, thecomputer system 101 may utilize each quantum computing system according to the type of quantum program that is being executed, according to availability or capacity, or based on other considerations. -
FIG. 2 is a schematic diagram of a cross-sectional view of an examplequantum processing unit 200. The examplequantum processing unit 200 includes aquantum processor chip 202 and acap wafer 212, which are bonded together by bondingbumps 224. Thequantum processor chip 202 containsquantum circuit devices 204 as part of asuperconducting circuit 206. Thequantum circuit devices 204 can be, for example, qubit devices (e.g., transmon devices, fluxonium devices, or other types of superconducting qubit devices), coupler devices, readout devices or other types of devices that are used for quantum information processing in thequantum processing unit 200. Thequantum circuit devices 204 may include one or more Josephson junctions, capacitors, inductors, and other types of circuit elements. Thecap wafer 204 includesrecesses 232 and various superconducting circuitry (e.g., 214, 216, 218, 220, and 222) disposed at various positions of thecap wafer 204 providing various functionalities. In some implementations, the use of thecap wafer 212 can improve coherence times ofquantum circuit devices 204. In some implementations, the examplequantum processing unit 200 may include additional and different features or components and components of the examplequantum processing unit 200 may be implemented in another manner. - As shown in the example
quantum processing unit 200, thequantum processor chip 202 includes afirst substrate 203. Thefirst substrate 203 supporting thesuperconducting circuit 206 and thequantum circuit devices 204 is referred to as thequantum processor chip 202. Similarly, thecap wafer 212 includes asecond substrate 213. Thesecond substrate 213 defining therecesses 232 and supporting the various superconducting circuitry (e.g., 214, 216, 218, 220, and 222) is referred to as thecircuitry portions cap wafer 212. In some implementations, thequantum circuit devices 204 may include a two-dimensional array of qubit devices (e.g., on the surface along XY plane) and therecesses 232 of thecap wafer 212 may be arranged so as to form encapsulation for respectivequantum circuit devices 204 when thecap wafer 212 and thequantum processor chip 202 are bonded together. In some implementations, the examplequantum processing unit 200 may include more than onequantum processor chip 202 bonded to thesame cap wafer 212 on the same side or on the opposite side. Thecap wafer 212 can be used to inductively, capacitively, or galvanically couple multiplequantum circuit devices 204 fabricated on multiplequantum processor chips 202, or multiple dies (e.g., the device dies 302A, 302B, and 302C as shown inFIG. 3A ). - In some implementations, the first and
203, 213 may include a dielectric substrate (e.g., silicon, sapphire, etc.). In certain examples, the first andsecond substrates 203, 213 may include an elemental semiconductor material such as, for example, silicon (Si), germanium (Ge), selenium (Se), tellurium (Te), or another elemental semiconductor. In some instances, the first andsecond substrates 203, 213 may also include a compound semiconductor such as silicon germanium (SiGe), silicon carbide (SiC), silicon germanium carbide (SiGeC), aluminum oxide (sapphire), gallium arsenide (GaAs), indium arsenide (InAs), indium phosphide (InP), gallium arsenic phosphide (GaAsP), or gallium indium phosphide (GaInP). In some instances, the first andsecond substrates 203, 213 may also include a superlattice with elemental or compound semiconductor layers. In some instances, the first andsecond substrates 203, 213 include an epitaxial layer. In some examples, the first andsecond substrates 203, 213 may have an epitaxial layer overlying a bulk semiconductor or may include a semiconductor-on-insulator (SOI) structure.second substrates - The
quantum circuit devices 204 and thesuperconducting circuit 206 on thequantum processor chip 202 and the various superconducting circuitry (e.g., the 214, 216, 218, 220, and 222) on thecircuitry portions cap wafer 212 include superconducting materials. In some implementations, the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the examplequantum processing unit 200, or another superconducting metal. In some implementations, the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy. In some implementations, the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material. In some instances, the superconducting materials may include multilayer superconductor-insulator heterostructures. - In some implementations, the
quantum circuit devices 204 and thesuperconducting circuit 206 can be formed on a top surface of the first substrate and patterned using a microfabrication process or in another manner. For example, thesuperconducting circuit 206 and thequantum circuit devices 204 may be formed by performing at least some of the following fabrication steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), and/or other suitable techniques to deposit respective superconducting layers on the first substrate; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.) to form openings in the respective superconducting layers. For example, a cap wafer may be formed with respect to theexample process 800 shown inFIG. 8 . - As shown in
FIG. 2 , thecap wafer 212 includes afirst surface 234 and a second, oppositesurface 236. Each of therecesses 232 is defined by a recessedsurface 238 andsidewalls 240. The recessedsurface 238 is located at a depth in thecap wafer 212 relative to thefirst surface 234. In some implementations, each of therecesses 232 may be a cavity, a shallow trench, a deep trench, or in another form. Dimension and shape of arecess 232 may be determined according to the dimension and shape of thequantum circuit device 204 or thesuperconducting circuit 206 associated with or enclosed by the recess. For example, arecess 232 in a form of a cavity can be used to form an enclosure to aquantum circuit device 204; and arecess 232 in a form of a shallow trench may be used to form an enclosure to a control line (e.g., thecontrol line 416 as shown inFIGS. 4A-4B ). As shown inFIG. 2 , each of therecesses 232 hasvertical sidewalls 240 along the Z-direction perpendicular to the first and 234, 236. In certain implementations, thesecond surfaces recesses 232 may include angled orsloped sidewalls 240 between thefirst surface 234 and the recessedsurface 238. - As shown in
FIG. 2 , therecesses 232 are defined on thefirst surface 234 of thecap wafer 212 at positions corresponding to thequantum circuit devices 204 or thesuperconducting circuit 206 disposed on thequantum processor chip 202. In this manner, thequantum processor chip 202 and thecap wafer 212 are arranged such that arecess 232 of thecap wafer 212 forms an enclosure that houses a respectivequantum circuit device 204. A depth of the recessedsurface 238 relative to the first surface 234 (e.g., a vertical distance between thefirst surface 234 and the recessed surface 238) of eachrecess 232 can be in a range of 5-500 μm. A lateral dimension of arecess 232 along the X axis or the Y axis is greater than a respectivequantum circuit device 204 enclosed by therecess 232. In some instances, the lateral dimension of arecess 232 may be determined by another design parameter. For example, in order to suppress propagation of electromagnetic waves with a frequency less than a cut off frequency inside arecess 232, the lateral dimension of therecess 232 can be determined as a value which is less than a maximal distance corresponding to the cutoff frequency. - In some implementations, the depth of each
recess 232 can determine a participation ratio of the electric fields around thequantum circuit device 204. A participation ratio can be adjusted to tune the coherence time of thequantum circuit device 204. Instead of having the fields mostly in thefirst substrate 203 which has an RF loss, a ground plane can reside on the recessedsurface 238 in thecap wafer 212. In some instances, the distances between the ground plane and thequantum circuit device 204 can be controlled allowing some of the electric field between the ground plane and thequantum circuit device 204 to be confined in the space defined by therecess 232, rather than in the lossyfirst substrate 203 of thequantum processor chip 202. For example, the participation ratio can be controlled by tuning the depth of therecess 232 of thecap wafer 212 as compared to the thickness of thequantum processor chip 202. - In certain implementations, the depth of each of the
recesses 232 can be determined according to a desired coupling between the circuitry on the recessedsurface 238 and thequantum circuit device 204 on the surface of thequantum processor chip 202. In some instances, the first and 203, 213 may have a high permittivity to reduce capacitive cross-talk between thesecond substrates superconducting circuit 206 and the 214, 216 as the electric fields stay localized in the first andcircuitry portions 203, 213, respectively.second substrates - As shown in
FIG. 2 , thecap wafer 212 is bonded to thequantum processor chip 202 using bonding bumps 224. In some implementations, each of the bonding bumps 224 may include conductive or superconductive materials, such as copper or indium bumps. Thecap wafer 212 is bonded with thequantum processor chip 202 with thefirst surface 234 facing the surface of thequantum processor chip 202 on which thequantum circuit devices 204 and thesuperconducting circuit 206 are disposed. In some implementations, the bonding bumps 224 can provide electrical communication of thesuperconducting circuit 206 on thequantum processor chip 202 with the various circuitry portions (e.g., 214, 216, 218, and 220) on thecap wafer 212. The gap between thefirst surface 234 of thecap wafer 212 and the surface where thequantum circuit devices 204 reside on thequantum processor chip 202 is determined by the height of the bonding bumps 224. In some implementations, the height of the bonding bumps can be controlled by the thickness of the bonding bumps initially deposited on thecap wafer 212 and the bonding process. For example, the gap between thecap wafer 212 and thequantum processor chip 202 is equal to or less than 3 μm, or in another range. - In some instances, adjacent
quantum circuit devices 204 disposed on thequantum processor chip 202 can be coupled through a coupling line as a part of thesuperconducting circuit 206 extending along the surface of thequantum processor chip 202 over at least a portion of the distance between the adjacentquantum circuit devices 204. The coupling between the adjacentquantum circuit devices 204 can be capacitive or direct. In some instances, at least a portion of the coupling line can also be encapsulated by arespective recess 232 in thecap wafer 212. In some implementations, multiplequantum circuit devices 204 can form a lattice, in which all or a subset of the quantum circuit devices 204 (e.g., each qubit device) in the lattice are coupled to one or more neighboringquantum circuit devices 204. In some implementations, a lattice may be coupled to one or more neighboring lattices. - In some implementations, the
214, 216, 218, 220 on thecircuitry portions cap wafer 212 may include a variety of circuit elements to control or readout thequantum circuit devices 204 on thequantum processor chip 202. For example, thecircuitry portion 216 includes flux bias lines which can provide magnetic flux locally to qubit devices to tune their frequencies. In this case, thecircuitry portion 216 may be implemented as the circuitry shown inFIGS. 4A, 4B , or in another manner. Thecircuitry portion 216 may also include tunable-frequency coupler devices, and microwave feedlines. Thecircuitry portion 216 on the recessedsurface 238 may include resonator devices which are capacitively coupled to qubit devices to readout qubits. In some examples, thecircuitry portion 216 may include microwave feedlines which are coupled to one or several of the resonator devices to allow microwave excitation of the resonator devices used to readout qubits. In this case, thecircuitry portion 216 may be implemented as theplanar resonators 504 shown inFIG. 5 . Thecircuitry portion 214 on thefirst surface 234 of thecap wafer 212 may include microwave lines which are capacitively coupled to qubit devices to drive qubits. Thecircuitry portion 220 on thesecond surface 236 or thecircuitry portion 214 on thefirst surface 234 of thecap wafer 212 may further include filters, isolators, circulators, amplifiers, or other circuit elements. - In some implementations, the
circuitry portion 216 on the recessedsurface 238 may be coupled to thecircuitry portion 214 on thefirst surface 234 and thecircuitry portion 220 on thesecond surface 236 through conductive pathways. For example, thecircuitry portion 216 can be galvanically coupled to thecircuitry portion 214 throughconductive lines 218 disposed or patterned onsidewalls 240 of therecess 232. In some instances, each of theconductive lines 218 includes a patterned metal coating that covers a portion of thesidewalls 240 extending from the recessedsurface 238 to thefirst surface 234. In certain examples, each of theconductive lines 218 include an unpatterned metal coating that covers theentire sidewalls 240. For another example, thecircuitry portion 216 may be electrically coupled to thecircuitry portion 214 through the 222A, 222B and theconductive vias circuitry portion 220 on thesecond surface 236. In some instances, thecircuitry portion 216 and thecircuitry portion 214 may be coupled in another manner. In some instances, thecircuitry portion 214 on thefirst surface 234 of thecap wafer 212 can be capacitively and/or inductively coupled to thecircuitry portion 216 on the recessedsurface 238 of the cap wafer, for example, using an interdigitated capacitive coupler device. In other instances, the 214 and 216 may be inductively coupled. For example, thecircuitry portions 214 and 216 including coplanar waveguides may be arranged next to each other so as to be inductively coupled. For example, thecircuitry portions circuitry portion 216 may include a bias tee or a diplexer circuit containing capacitive and/or inductive coupling components which is used to combine a high-frequency XY qubit control signal with a low-frequency flux bias control signal received from thecircuitry portion 214. - In some instances, the
214 and 216 can be coupled through one or more electrically conductive vias 222. For example, thecircuitry portions circuitry portion 214 may be connected to an electrically conductive via 222A to thecircuitry portion 220 on thesecond surface 236, which is further connected to thecircuitry portion 216 through another electrically conductive via 222B. A capacitance coupling between the two 214, 216 can be achieved by introducing a thin dielectric layer along the radial or the axial direction in one of the electricallycircuitry portions 222A or 222B. When the thin dielectric layer is disposed along the radial direction of the electrically conductive via, the thin dielectric layer can be sandwiched between top and bottom sections of the conductor in a via hole. In some instances, the thin dielectric layer may reside on one end of the electrically conductive via 222A or 222B. When the thin dielectric layer is disposed along the axial direction of the electrically conductive via, (e.g., a coaxially filled via hole), the thin dielectric layer may be sandwiched between an outer cylinder-shaped conductor and an inner cylinder-shaped conductor.conductive vias - As shown in
FIG. 2 , acircuitry portion 228 is formed on the recessedsurface 238 and thesidewalls 240. In some implementations, thecircuitry portion 228 can be used as a Faraday cage, which can prevent stray electric fields from reaching thequantum circuit device 204. In some implementations, when thecircuitry portion 228 contains superconducting materials, thecircuitry portion 228 may also be used to exclude stray magnetic fields from reaching thequantum circuit device 204. - In some implementations, the circuitry portions on the
cap wafer 212 may be formed in one or more electrically conductive layers on thefirst surface 234, thesecond surface 236, or the recessedsurface 238. In some instances, the one or more electrically conductive layers may cover at least a portion ofsidewalls 240 of each of therecesses 232. In other implementations, each of the one or more electrically conductive layers may include a material that has normal conductance at the operating temperature of the examplequantum processing unit 200. In some implementations, the examplequantum processing unit 200 can be operated at cryogenic temperatures (e.g., cooled using liquid helium) and each of the one or more electrically conductive layers (or at least a portion) can operate as a superconducting layer at that temperature. In addition, during operation of the examplequantum processing unit 200, at least a portion of the one or more electrically conductive layers in the various superconducting circuitry of thecap wafer 212 can be grounded. - As shown in
FIG. 2 , thecap wafer 212 includes electrically conductive vias 222 (e.g., via holes filled with conductive materials) each extending through thesecond substrate 213. A first length of the electricallyconductive vias 222A along the Z axis corresponds to a thickness of thesecond substrate 213, which can be in the range of 1 μm to 2 mm. A second length of the electricallyconductive vias 222B along the Z axis corresponds to a difference between the thickness of thesecond substrate 213 and the depth of therecess 232. In some implementations, the electrically conductive vias 222A, 222B include a material (e.g., Al, In, Ti, Pn, Sn, etc.) that is superconducting at an operating temperature of the examplequantum processing unit 200. - As shown in
FIG. 2 , the electrically conductive via 222A provides an electrical connection between thecircuitry portion 214 on thefirst surface 234 and thecircuitry portion 220 on thesecond surface 236. In some implementations, this enables both outside connections to land on the second surface 236 (e.g., unbonded side) of thecap wafer 212 and then connect to the first surface 234 (e.g., bonded side) and from there down to thesuperconducting circuit 206 and further to thequantum circuit devices 204, for example, through the bonding bumps 224. The electrically conductive via 222B provides an electrical connection between thecircuitry portion 220 on thesecond surface 236 and thecircuitry portion 216 on the recessedsurface 238. In some implementations, the electrically conductive vias 222A, 222B can be used to form a continuous ground plane through the examplequantum processing unit 200, such that a solidly connected ground plane can be maintained across both thequantum processor chip 202 and thecap wafer 212. Multiple electrically 222A, 222B connected to the ground planes located on the first andconductive vias 234, 236 of thesecond surfaces cap wafer 212, and the recessedsurface 238 may be arranged in a regular array to avoid a formation of a chip-mode resonance and to mitigate unwanted modes (e.g., coupled slotline mode, parallel-plate waveguide modes, or resonant patch mode). For example, such a regular array of electrically conductive vias connected to the ground planes can push dielectric chip modes with thecap wafer 212 to higher frequencies. - In some instances,
quantum circuit devices 204 may be coupled via alternative signal routing levels provided by the 214, 216, 220, thecircuitry portions conductive lines 218, and the electrically 222A, 222B on theconductive vias cap wafer 212. For example, non-neighboringquantum circuit devices 204 without qubit-to-qubit connections (e.g., direct coupling lines on the quantum processor chip 202) may be provided by thecap wafer 212. In some implementations, thecircuitry portion 214 may be coupled to thesuperconducting circuit 206 using capacitive, inductive, or galvanic connections. In some instances, the 214, 216, 220 may include planar transmission lines, for example coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line.circuitry portions - In some implementations, a subset of the one or more electrically conductive vias 222 are electrically coupled with control lines to supply control signals to, or are coupled with other signal lines to retrieve readout signals from, the
quantum circuit devices 204 of thequantum processing unit 200. For example, the control signals can be provided to thequantum processor chip 202 from a signal delivery system (e.g., the signal delivery system 106 of the quantum computing system 100) or the readout signals can be retrieved from thequantum circuit devices 204 to the signal delivery system. In some implementations, a subset of the one or more electrically 222A, 222B may be grounded to provide ground to electrically coupled circuitry portions. In some instances, the one or more electricallyconductive vias 222A, 222B may include another subset that can be used for thermalization. In this case, theconductive vias cap wafer 212 allows better heatsinking of thequantum circuit devices 204 to the refrigeration system using the one or more electrically 222A, 222B as thermal paths for heat dissipation. The methods and techniques presented here can reduce losses in theconductive vias quantum circuit devices 204. - In some instances, the
second surface 236 of thecap wafer 212 can be coated with a material with a low thermal emissivity, which can reduce the heat load on thequantum circuit devices 204 by reflecting infra-red thermal radiation emitted by the surrounding components. For example, the ground plane on thesecond surface 236 of thecap wafer 212 can be coated with, or otherwise include the material with a low thermal emissivity. The material with a low thermal emissivity may include a thin layer of superconductive or non-superconductive metal, e.g., gold (Au), palladium (Pd), platinum (Pt), Al, and Ti. -
FIG. 3A is a schematic diagram of an exploded view of an examplequantum processing unit 300. The examplequantum processing unit 300 includes multiple device dies 302 (e.g., 302A, 302B, and 302C) and acap wafer 304. Thecap wafer 304 includesmultiple recesses 310 and each of the device dies 302 includes fourqubit devices 306 and two tunable-frequency coupler devices 308. As shown inFIG. 3A , two neighboringqubit devices 306 are coupled together through a tunable-frequency coupler device 308. Thequbit device 306 can be capacitively coupled to the tunable-frequency coupler 308 through a capacitor. As shown in the example quantum processing unit, the device dies 302 and thecap wafer 304 are arranged such thatrecesses 310 of thecap wafer 304, when the device dies 302 and thecap wafer 304 are bonded together, form enclosures that house thequbit devices 306 and the tunable-frequency coupler device 308 of the device dies 302. In some implementations, the examplequantum processing unit 300 may include additional and different features or components and components of the examplequantum processing unit 300 may be implemented in another manner. - In some implementations, the tunable-
frequency coupler device 308 may be implemented as a tunable-frequency transmon qubit device. For example, the tunable-frequency coupler device 308 includes two Josephson junctions connected in parallel with each other to form a circuit loop, which resides adjacent to a control line. The tunable-frequency coupler device 308 may also include other circuit components. A control line can receive control signals, for example, from an external control system (e.g., the control system 105 ofFIG. 1 ). In some instances, the control line can include, for example, a flux bias device that is configured to apply an offset magnetic field to the tunable-frequency coupler device 308. For instance, the flux bias device may include an inductor that has a mutual inductance with the circuit loop of the tunable-frequency coupler device 308. The control line may be located at a recessed surface of therecesses 310 on thecap wafer 304. In some implementations, the effective coupling between the twoqubit devices 306 can be controlled or actuated by tuning a magnetic field applied to the tunable-frequency coupler device 308. For example, a control signal (e.g., a DC or an AC current) can be applied to a control line to tune the magnetic flux threading to the circuit loop of the tunable-frequency coupler device 308 to turn on or off the coupling. - In some examples, the
qubit device 306 may be implemented as a fixed-frequency transmon qubit device. For example, aqubit device 306 may include a Josephson junction and a capacitor which are connected in parallel. In some instances, thequbit device 306 may be implemented as a tunable-frequency qubit device. In this case, thequbit device 306 may include one or more tunable transmon qubit devices or tunable fluxonium qubit devices. In some implementations, thequbit device 306 may include another type of tunable-frequency qubit device. When thequbit device 306 is a tunable-frequency qubit device, the transition frequency of the tunable-frequency qubit device can be controlled by a magnetic flux provided by a separate control line on thecap wafer 304. In some instances, the transition frequency may be controlled in another manner, for instance, by another type of control signal. In some implementations, the control line may be coupled (e.g., conductively, capacitively, or inductively) to a control port to receive control signals. -
FIG. 3B is a schematic diagram of a perspective view of an examplequantum processing unit 320. The examplequantum processing unit 320 includes multiple device dies 322 and acap wafer 324. Thecap wafer 324 includesmultiple recesses 330 and each of the device dies 322 includes eight qubit devices 332. Each of the qubit devices 332 is conductively connected to a respective electrode 334. For example, as shown inFIG. 3B , afirst qubit device 332A in the device die 322A is galvanically connected to afirst electrode 334A and asecond qubit device 332B in the device die 322B is galvanically connected to asecond electrode 334B. As shown in the examplequantum processing unit 320, the device dies 322 and thecap wafer 324 are arranged such thatrecesses 330 of thecap wafer 324, when the device dies 322 and thecap wafer 324 are bonded together, form enclosures that house the qubit devices 332 of the device dies 322. In some implementations, the examplequantum processing unit 320 may include additional and different features or components and components of the examplequantum processing unit 320 may be implemented in another manner. - As shown, the
cap wafer 324 includes multiple inter-chip coupler arrays 326 (e.g., 326A, 326B, and 326C), which, when the device dies 322 and thecap wafer 324 are bonded together, are configured to provide inter-chip coupling. The inter-chip coupler arrays 326 may be configured as shown inFIG. 3B or in another manner. Each of the inter-chip coupler arrays 326 is configured to provide coupling betweenqubit devices 306 on different device dies 322. As shown inFIG. 3B , theinter-chip coupler array 326A is configured to communicably couple the qubit devices 332 on the device die 322A and on the device die 322B; theinter-chip coupler array 326B is configured to communicably couple the qubit devices 332 on the device die 322B and on the device die 322C; and theinter-chip coupler array 326C is configured to communicably couple the qubit devices 332 on the device die 322C and on the device die 322D. - In some instances, the inter-chip coupler array 326 may be configured to communicably couple qubit devices 332 of device dies 322 that are not adjacent to each other. For example, an inter-chip coupler array 326 may include one or more
inter-chip coupler devices 328 that can extend or be routed across thecap wafer 324 to provide coupling between qubit devices 332 on the device die 322A and 322C or 322D. In this case, aninter-chip coupler device 328 may be routed on a surface of thecap wafer 324, recessed surfaces and/or sidewalls of therecesses 330 of thecap wafer 324. - As shown in the example
quantum processing unit 320, each of theinter-chip coupler devices 328 includes aconductive line 338 and two 336A, 336B. The device dies 322 and theelectrodes cap wafer 324 are arranged such that each of the two 336A, 336B of theelectrodes inter-chip coupler device 328 form a coupling with respective electrodes 334 of respective qubit devices 332. For example, the coupling can be capacitive through a gap separating the two respective electrodes (e.g., 334A of the 332A and 336A of the inter-chip coupler device 328). For example, the coupling can be conductive through one or more bonding bumps 340 galvanically connecting the two respective electrodes (e.g., 334A of thequbit device 332A and 336A of the inter-chip coupler device 328). In some instances, the coupling between thequbit device inter-chip coupler 328 and the qubit device 332 is inductive. For example, the electrodes 336 of theinter-chip coupler 328 may be configured as an inductor that has a mutual inductance with a circuit loop in aqubit device 332A of a device die 322. In some instances, theinter-chip coupler device 328 may be implemented as thecontrol line 416 and theplanar loop 430 of thecontrol line 416 shown inFIGS. 4A-4B or in another manner. -
FIGS. 4A-4B are schematic diagrams of top view and cross-sectional view of an examplequantum processing unit 400. The examplequantum processing unit 400 includes aquantum processor chip 402 and acap wafer 404. As shown inFIGS. 4A-4B , thecap wafer 404 includes afirst surface 412 and asecond surface 414; and thequantum processor chip 402 includes afirst surface 422 and asecond surface 424. Thefirst surface 412 of thecap wafer 404 and thefirst surface 422 of thequantum processor chip 402 face each other and are bonded together by bondingbumps 428. Thequantum processor chip 402 includes aquantum circuit device 408 residing on thefirst surface 422. Thecap wafer 404 includes aplanar loop 430 as part of acontrol line 416. Theplanar loop 430 interacts with thequantum circuit device 408 on the quantum processor chip 402 (e.g., theSQUID loop 409 of the quantum circuit device 408) to generate and control a local magnetic flux threading theSQUID loop 406. In some instances, theplanar loop 430 of thecontrol line 416 may be implemented as a single-turn loop, a multi-turn loop, or in another form. Thecontrol line 416 is disposed in arecess 406, which is defined by a recessedsurface 418 andsidewalls 420. Oneend 427 of the control line 416 (as indicated by the arrow at one end of the control line 416) is galvanically connected toground plane 426 on thecap wafer 404. Thecap wafer 404 may further include various superconducting circuitry disposed at various surfaces of thecap wafer 404. For example, thequantum processor chip 402 and thecap wafer 404 may be implemented as thequantum processor chip 202 and thecap wafer 212 inFIG. 2 . In some implementations, the examplequantum processing unit 400 may include additional and different features or components and components of the examplequantum processing unit 400 may be implemented in another manner. - The methods and techniques disclosed here can reduce unpredictable, non-localized interactions between different elements of a superconducting circuit, which are caused by a propagation of superconducting currents (e.g., supercurrents) in thin films. Supercurrents run along edges of thin films due to the Meissner effect which can cause flux crosstalk between qubit devices at different locations. For example, when a current signal is applied on a flux bias line at a first location, a supercurrent can generate a small bias flux at a second, distinct location. The methods and techniques presented here can effectively sink and remove supercurrents that are circulating around quantum circuit devices, reduce unwanted flux crosstalk, and reduce the coherent error, for example in two-qubit gates of superconducting quantum computers.
- As shown in
FIGS. 4A-4B , ground planes 426 on thefirst surface 422 of thequantum processor chip 402 and thefirst surface 412 of thecap wafer 404 are bonded together by the bonding bumps 428. In some implementations, thecap wafer 404 can reduce flux crosstalk by guiding the supercurrents from the ground planes 426 on thequantum processor chip 402 to the bonding bumps 428, which supercurrents can be collected by and dispersed at theground plane 426 on thecap wafer 404. In other words, theground plane 426 on thecap wafer 404 along with the selective placement of the bonding bumps 428 provides an opportunity to segment the ground plane. In some instances, segments of ground planes created can be kept at an equipotential. - In some implementations, the
quantum circuit device 408 disposed on thefirst surface 422 of thequantum processor chip 402 may be implemented as thequantum circuit device 204 as shown inFIG. 2 including qubit devices, or another type of quantum circuit device. As shown inFIGS. 4A-4B , thequantum circuit device 408 is configured as a tunable transmon qubit device withqubit electrodes 410 and two Josephson junctions forming a Superconducting Quantum Interface Device (SQUID)loop 409. Thequbit electrodes 410 are configured to form a shunt capacitor in parallel with the two Josephson junctions. In some instances, thequbit electrodes 410 of thequantum circuit device 408 may be configured to capacitively couple to other circuit components in thecap wafer 404 and thequantum processor chip 402, for example, theplanar loop 430 of thecontrol line 416 on thecap wafer 404 and theground plane 426 on thequantum processor chip 402. TheSQUID loop 409 and thequbit electrodes 410 containing superconducting materials are surrounded by the ground planes 426 on thefirst surface 422 of thequantum processor chip 402. - In some implementations, the
control line 416 on the recessedsurface 418 of therecess 406 on thecap wafer 404 includes conductor metal that carries a control signal to and from thequantum circuit device 408 or other quantum circuit devices on thequantum processor chip 402. In some instances, thecontrol line 416 is a planar transmission line (e.g., coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line). For example, thecontrol line 416 may be implemented as the coplanar waveguides shown inFIG. 6C . - In some examples, the
control line 416 is a flux bias line. In this case, theplanar loop 430 is inductively coupled to theSQUID loop 409, the frequency of thequantum circuit device 408 can be tuned by applying amagnetic field 431 through theSQUID loop 409. Themagnetic field 431 can be generated by the flux bias line. The desired mutual inductance can be achieved by adjusting the distance between the flux bias line and theSQUID loop 409. In some cases, the distance between the flux bias line and theSQUID loop 409 is defined by the depth of therecess 406 and the height of the bonding bumps 428. For example, the distance is in a range of 10-20 μm, or may be in another range. In some instances, the value of the mutual inductance is in a range of 400-800 femto Henry (fH), or in another range. - In some examples, the
control line 416 is a microwave line. In this case, thecontrol line 416 is capacitively coupled to thequantum circuit device 408 on thequantum processor chip 402, for example through thequbit electrodes 410. The capacitive coupling between thequantum circuit device 408 and thecontrol line 416 can be set by the relative positions and distance of thecap wafer 404 and thequantum processor chip 402. The state of thequantum circuit device 408 can be manipulated by sending microwave pulses along thecontrol line 416. In some instances, the distance between thecontrol line 416 and thequantum circuit device 408 is equal to or greater than a threshold distance, e.g., around 50-200 μm. In some instances, the capacitive coupling is in a range of 0.1-0.5 femto Farad (fF), or in another range. - In some instances, the
control line 416 which is capacitively and inductively coupled to thequantum circuit device 408 can simultaneously serve as a flux bias line and a microwave line. In this case, the control signal on thecontrol line 416 can include a low-frequency component (e.g., typically with a highest frequency value up to ˜500 MHz or a different value) and a high-frequency component at or near the qubit frequency (e.g., typically about 4 GHz or a different value). The low-frequency component in theplanar loop 430 generates a local magnetic field that interacts with theSQUID loop 409 of thequantum circuit device 408 and tunes the frequency of thequantum circuit device 408. In this case, the low-frequency component of the current bias is a flux bias signal. The high-frequency component interacts capacitively with thequbit electrodes 410 of thequantum circuit device 408 and causes the wavefunction in the qubit to change in a controlled fashion. The high-frequency component of the current bias is a microwave drive signal. - The methods and devices presented here can allow independent tuning of both the capacitive and magnetic coupling, both of which have to be correctly targeted to get correct operation. The ability to tune both capacitive and magnetic coupling independently allows combined flux bias and microwave lines to be integrated into the
cap wafer 404. In some implementations, by moving these circuit elements from thequantum processor chip 402 to thecap wafer 404, the capacitive coupling is significantly reduced since theplanar loop 430 of thecontrol line 416 to thequantum circuit device 408 are separated by vacuum with a lower permittivity relative to that of a substrate of the quantum processor chip 402 (e.g., a silicon substrate). -
FIG. 5 is a schematic diagram of a top view of anexample cap wafer 500. Theexample cap wafer 500 includes multipleplanar resonators 504 coupled to afeedline 502. As shown inFIG. 5 , the multipleplanar resonators 504 and thefeedline 502 have a coplanar waveguide structure, which includes a central conductive line and a ground plane. In some instances, thefeedline 502 and theplanar resonators 504 may include another type of planar transmission line, for example, a microstrip transmission line or a substrate integrated waveguide. Each of theplanar resonators 504 is inductively coupled to the central conductive line of thefeedline 502. In some implementations, thefeedline 502 allows multiplexing the multipleplanar resonators 504 on thecap wafer 500. In some implementations, thecap wafer 500 may include additional and different features or components and components of theexample cap wafer 500 may be implemented in another manner. - As shown in
FIG. 5 , each of theplanar resonators 504 and thefeedline 502 resides on recessedsurfaces 506 ofrespective recesses 508 of a substrate. In some instances, theplanar resonators 504 and thefeedline 502 on the recessedsurface 506 may be implemented as part of thecircuitry portion 216 on the recessedsurface 238 of thecap wafer 212 shown inFIG. 2 or in another manner. In some implementations, theplanar resonators 504 and thefeedline 502 are superconducting microwave devices operating in the microwave frequency domain in a cryogenic environment. In some implementations, thefeedline 502 and theplanar resonators 504 may be used as a readout resonator for receiving a readout signal from a qubit device on a quantum processor chip. As shown, thefeedline 502 includes two 510A, 510B. For example, a readout signal can be received on theports port 510A and an output signal can be obtained at theport 510B. - As shown in the
example cap wafer 500, the central conductive lines of theplanar resonators 504 are shaped in a meander-like structure. Each of theplanar resonators 504 is inductively coupled to thefeedline 502 via arespective arm 512 which is adjacent and parallel to the central conductive line of thefeedline 502. Each of theplanar resonators 504 includes parallel segments forming intra-line capacitors. - In some implementations, the
recesses 508 may be implemented as therecesses 232 shown inFIG. 2 and formed by performing the 802, 804, and 806 in theoperations example process 800 shown inFIG. 8 or in another manner. In some implementations, the central conductive line and the ground planes of thefeedline 502 and theplanar resonators 504 include superconductive materials. For example, thefeedline 502 and theplanar resonator 504 may be formed on the recessedsurfaces 506 as part of thesecond circuitry portion 842B by performing the 808, 810, and 812 of theoperations example process 800 shown inFIG. 8 . In some instances, thefeedline 502 and theplanar resonators 504 may be formed in another manner. - In certain examples, the internal resonator property of each of the
planar resonators 504, such as the resonant frequency, loss, signal-to-noise ratio, quality factor, are determined by physical parameters of theplanar resonators 504. In some implementations, the central conductive lines of theplanar resonators 504 may have different physical dimensions, e.g., total length, width, thickness and number of turns of the central conductive lines of theplanar resonators 504, length of parallel segments of theplanar resonators 504, distance between the central conductive line and the ground plane, length of thearm 512 for inductively coupling with the feedline, dielectric properties of the substrate, and depth of therecesses 508. In some implementations, each of theplanar resonators 504 can be designed and optimized individually with different internal resonator properties. In some instances, the external quality factor depends on characteristics of theplanar resonator 504, the coupling strength between theplanar resonator 504 and thefeedline 502, and impedance of the two 510A, 510B.ports -
FIG. 6A is a schematic diagram of a cross-sectional view of an examplequantum processing unit 600. The examplequantum processing unit 600 includes aquantum processor chip 602 and acap wafer 604. As shown inFIG. 6A , thecap wafer 604 includes afirst surface 612 and asecond surface 614. Thequantum processor chip 602 and thecap wafer 604 are bonded together using 606A, 606B. Thebonding bumps cap wafer 604 shown inFIG. 6A further includes arecess 616, which is defined by a recessedsurface 618 andsidewalls 620. - In some implementations, the
cap wafer 604 may include circuitry portions on the first, 612, 614 and the recessedsecond surfaces surface 618 providing different functionalities. In some instances, the first and 612, 614 of thesecond surfaces cap wafer 604 may be implemented as the first and 234, 236 of thesecond surfaces cap wafer 212 shown inFIG. 2 or in another manner. In the example shown inFIG. 6A , thefirst surface 612 includescircuitry portions 621A, 621B; and thesecond surface 614 includes 624A, 624B and 628. As shown incircuitry portions FIG. 6A , thecircuitry portion 626 that resides on thecap wafer 614 covers a portion of thefirst surface 612, the recessedsurface 618, and thesidewalls 620. - In some implementations, the circuitry portions on different surfaces can be electrically connected and routed to feed control signals to, or transfer readout signals from, the
quantum processor chip 602. As shown in the examplequantum processing unit 600, the 624A, 624B on thecircuitry portions second surface 614 of thecap wafer 604 are electrically coupled to thecircuitry portions 621A and 621B on thefirst surface 612 of thecap wafer 604 through respective conductive vias 622-1A, 622-2A. Thecircuitry portions 621A, 621B on thefirst surface 612 are electrically coupled to asuperconducting circuit 630 on a surface of thequantum processor chip 602 using respective bonding bumps 606A, 606B. Thecircuitry portion 628 on thesecond surface 614 of thecap wafer 604 is electrically coupled to thecircuitry portion 626 through theconductive vias 622B. In some implementations, the 628 and 626 can be grounded.circuitry portions - In some instances, the conductive vias 622-1A and 622-2A may be implemented as the
conductive vias 222A shown inFIG. 2 or in another manner. In some instances, theconductive vias 622B may be implemented as theconductive vias 222B shown inFIG. 2 or in another manner. In certain instances, the bonding bumps 606A, 606B may be implemented as the bonding bumps 224 shown inFIG. 2 or in another manner. - In some implementations, during operation, the
circuitry portion 624A on thesecond surface 614 of thecap wafer 604 may receive control signals from a control system (e.g., the control system 105 of thecomputing system 101 shown inFIG. 1 ). The control signal can be then directed across the conductive via 622-1A to the circuitry portion 621A on thefirst surface 612. The control signal can be then directed to thesuperconducting circuit 630 on thequantum processor chip 602 through thebonding bump 606A. Similarly, a readout signal from thesuperconducting circuit 630 on thequantum processor chip 602 can be directed to thecircuitry portion 621B on thefirst surface 612 of thecap wafer 604 using thebonding bump 606B. The readout signal can be then directed across the conductive via 622-2A to thecircuitry portion 624B on thesecond surface 614 and eventually received by the control system. -
FIG. 6B is a schematic diagram of a cross-sectional view of an examplequantum processing unit 630. The examplequantum processing unit 630 includes aquantum processor chip 632 and acap wafer 634. In some implementations, thequantum processor chip 632 and thecap wafer 634 may be implemented as the device and 202, 204 shown incap wafers FIG. 2 or in another manner. As shown inFIG. 6B , thequantum processor chip 632 and thecap wafer 634 are bonded together using bonding bumps 654. - As shown in
FIG. 6B , thequantum processor chip 632 includes four 642A, 642B, 642C and 642D disposed on the surface of thequantum circuit devices quantum processor chip 632. Each of the 642A, 642B, 642C and 642D may be electrically coupled to a respective portion of aquantum circuit devices 644A, 644B, 644C or 644D. Specifically, a firstsuperconducting circuit quantum circuit device 642A is electrically coupled to a first portion of asuperconducting circuit 644A; a secondquantum circuit device 642B is electrically coupled to a second portion of asuperconducting circuit 644B; a thirdquantum circuit device 642C is electrically coupled to a third portion of asuperconducting circuit 644C; and a fourthquantum circuit device 642D is electrically coupled to a fourth portion of asuperconducting circuit 644D. In some implementations, the quantum circuit devices 642 and the superconducting circuit 644 may be implemented as thequantum circuit device 204 and thesuperconducting circuit 206 shown inFIG. 2 or in another manner. - As shown in
FIG. 6B , thecap wafer 634 includes afirst surface 636 and asecond surface 638. Thecap wafer 634 includes four 650A, 650B, 650C and 650D. In some implementations, each of the fourrecesses 650A, 650B, 650C and 650D can be implemented as therecesses recess 232 shown inFIG. 2 or in another manner. As shown in example 642A, 642B, 642C and 642D, each of the fourquantum processing unit 650A, 650B, 650C and 650D on therecesses cap wafer 634 encloses a respective 642A, 642B, 642C or 642D on thequantum circuit device quantum processor chip 632. - In the example shown in
FIG. 6B , afirst recess 650A is defined by a first recessedsurface 640A and sidewalls 646A; and asecond recess 650B is defined by a second recessedsurface 640B and sidewalls 646B. As shown inFIG. 6B , the first recessedsurface 640A resides at a first depth in thecap wafer 634 relative to thefirst surface 636 and the second recessedsurface 640B resides at a second depth in thecap wafer 634 relative to thefirst surface 636. The first depth is greater than the second depth. In certain instances, the first and second depths may have another relationship. - In some implementations, the
cap wafer 634 includes circuitry portions on its first, second, and recessed 636, 638 and 640. In the examplesurfaces quantum processing unit 630, thecap wafer 634 includes afirst circuitry portion 658 disposed on thefirst surface 636, asecond circuitry portion 660 disposed on thesecond surface 638, athird circuitry portion 656A on the first recessedsurface 640A, and afourth circuitry portion 656B on the second recessedsurface 640B. In some instances, the first and 658, 660 may be implemented as thesecond circuitry portions 214 and 220 shown incircuitry portion FIG. 2 , or in another manner. - In certain implementations, the circuitry portions disposed at different surfaces of the
cap wafer 634 may be galvanically coupled through conductive vias 652 orconductive lines 648 on the sidewalls 646 of the recesses 650. In some implementations, the conductive vias 652 and theconductive lines 648 may be implemented as therespective components 218 and 222 shown inFIG. 2 or in another manner. For example, thethird circuitry portion 656A is routed from the first recessedsurface 640A through theconductive lines 648 across at least a portion of thesidewalls 646A to thefirst surface 636, which is galvanically coupled to the firstquantum circuit device 642A via thebonding bump 654 and thesuperconducting circuit 644A. Further, thethird circuitry portion 656A is electrically coupled to thesecond circuitry portion 660 through a first conductive via 652A. Similarly, thefourth circuitry portion 656B is electrically coupled to thesecond circuitry portion 660 through a second conductive via 652B. As shown inFIG. 6B , the first conductive via 652A extends from the first recessedsurface 640A to thesecond surface 638 of thecap wafer 634; and the second conductive via 652B extends from the second recessedsurface 640B to thesecond surface 638 of thecap wafer 634. - In some implementations, the
fourth circuitry portion 656B at the second recessedsurface 640B of thesecond recess 650B may be capacitively coupled to the secondquantum circuit device 642B. In some implementations, the capacitive coupling between the secondquantum circuit device 642B and thefourth circuitry portion 656B is determined by the distance between thequantum circuit device 642B and thefourth circuitry portion 656B. In some instances, the distance is determined by the height of thebonding bump 654 and the second depth of thesecond recess 650B. In this case, the first and second 642A, 642B, which are not directly coupled, may be coupled together through the first portion of thequantum circuit devices superconducting circuit 644A, thebonding bump 654, theconductive line 648 on thesidewalls 646A, thethird circuitry portion 656A, the conductive via 652A, thesecond circuitry portion 660, the conductive via 652B, and thefourth circuitry portion 656B. In certain examples, the first and second 642A, 642B may be coupled in another manner.quantum circuit devices - In some implementations, the
first circuitry portion 658 on thefirst surface 636 are capacitively coupled to the superconducting circuit 644 on thequantum processor chip 632. As shown inFIG. 6B , each of the third and 644C and 644D of the superconducting circuit are capacitively coupled to thefourth portions first circuitry portion 658 on thefirst surface 636 of thecap wafer 634. In this case, the third and fourth 642C and 642D are coupled through thequantum circuit device third portion 644C of the superconducting circuit, thefirst circuitry portion 658 on thefirst surface 636 of thecap wafer 634, and thefourth portion 644D of the superconducting circuit. In some implementations, the systems and methods presented here can be used to provide alternative pathways to couple non-neighboring quantum circuit devices 642 on thequantum processor chip 632. -
FIG. 6C is a schematic diagram of an exploded view of an examplequantum processing unit 670. The examplequantum processing unit 670 includes aquantum processor chip 672 and acap wafer 674. Each of thequantum processor chip 672 and thecap wafer 674 includes a coplanar waveguide. The coplanar waveguide includes a central conductive line and ground planes. In the examplequantum processing unit 670, the coplanar waveguide on thequantum processor chip 672 includes a centralconductive line 680A andground planes 682A; and the coplanar waveguide on thecap wafer 674 includes a centralconductive line 680B andground planes 682B. - As shown in the example
quantum processing unit 670, each of thequantum processor chip 672 and thecap wafer 674 includes a dielectric substrate with a high permittivity. In some instances, the dielectric substrate may be implemented as thesubstrate 822 shown inFIG. 8 or in another manner. For example, the dielectric substrate may be a silicon substrate with a relative permittivity of 11.68. As shown inFIG. 6C , the coplanar waveguides on thequantum processor chip 672 and thecap wafer 674 extend along the XY plane perpendicular to each other. In some instances, the coplanar waveguides may be arranged in another manner. The ground planes 682A, 682B are galvanically connected using bonding bumps 684. The central 680A, 680B are separated by aconductive lines gap 676 and the thickness of the gap is defined by the height of the bonding bumps 684 or any other additional etched structure in thequantum processor chip 672 and thecap wafer 674. In some implementations, thegap 676 is filled with a low-permittivity material during operation of the quantum processing unit, e.g., vacuum with a relative permittivity of 1, or another type of insulating material with a low permittivity to reduce the coupling (e.g., cross-talk) between the two coplanar waveguides. In some instances, the coupling between the two coplanar waveguides can be further controlled by controlling the gap separating the two coplanar waveguides. For example, the coplanar waveguide on thecap wafer 674 may reside on a recessed surface in a recess. -
FIG. 7A are schematic diagrams of a perspective view and a cross-sectional view of anexample cap wafer 700. Theexample cap wafer 700 includes two 702A, 702B, aelectrodes ground plane 704, and recesses 712, which are formed on asubstrate 718. Therecesses 712 are defined by recessedsurfaces 710 andsidewalls 709. In some instances, therecesses 712 on thesubstrate 718 may be implemented as therecesses 232 on thesubstrate 212 shown inFIG. 2 or in another manner. As shown in theexample cap wafer 700, the two 702A, 702B reside on twoelectrodes respective pedestals 706 defined by the surroundingrecesses 712. - In some implementations, each of the two
702A, 702B includes a first portion covering at least a portion of theelectrodes top surface 708 of thesubstrate 718, a second portion covering at least a portion of thesidewalls 709 of therecesses 712 around thepedestal 706, and a third portion covering at least a portion of the recessedsurfaces 710 of therecesses 712 surrounding thepedestal 706. As shown inFIG. 7A , each of the 702A, 702B is disposed on theelectrodes substrate 718 covering the entiretop surface 708 of thepedestal 706, and theentire sidewalls 709 of the surroundingrecesses 712. - In the
example cap wafer 700, the two 702A, 702B are galvanically connected together via aelectrodes connection 716 forming a continuous, conductive pathway between the two 702A, 702B. As shown inelectrodes FIG. 7A , theconnection 716 between the two 702A, 702B resides on the recessedelectrodes surface 710 between the twopedestals 706. The two 702A, 702B are surrounded by aelectrodes continuous ground plane 704. As shown inFIG. 7A , theground plane 704 resides on thesubstrate 718 covering at least a portion of the recessedsurface 710, thetop surface 708, and thesidewalls 709. - In some implementations, the two
702A, 702B may be implemented as the circuitry portions on theelectrodes cap wafer 212 as shown inFIG. 2 , or in another manner. In some implementations, the two 702A, 702B, thecoupling electrodes pedestals 706, and therecesses 710 may be fabricated according to theexample process 800 shown inFIG. 8 or in another manner. -
FIG. 7B are schematic diagrams of a perspective view and a cross-sectional view of an examplequantum processor chip 720. The examplequantum processor chip 720 includes two 722A, 722B on aelectrodes substrate 730. As shown inFIG. 7B , the two 722A, 722B may be connected to two respective quantum circuit devices (e.g., theelectrodes quantum circuit device 204 inFIG. 2 ) via 726A, 726B. In some instances, the tworespective connections 722A, 722B and theelectrodes 726A, 726B may be implemented as the third andrespective connections 644C and 644D of the superconducting circuit as shown infourth portions FIG. 6B . The two respective quantum circuit devices are not directly connected or coupled through a coupling line on thequantum processor chip 720. In some implementations, the examplequantum processor chip 720 may include another circuit component. - In some aspects, the techniques disclosed here enable additional signal routing pathways. For example as shown in
FIG. 7B , thequantum processor chip 720 includes a coplanar waveguide with a centralconductive stripe 728 extending along the y-axis between two 724A, 724B. The coplanar waveguide separating the twoground planes 722A, 722B and thus the two respective quantum circuit devices on theelectrodes quantum processor chip 720 may be used, for example, propagating coherent signals between other quantum circuit devices (e.g., tunable-frequency coupler device, qubit devices) or other circuit components on thequantum processor chip 720. -
FIG. 7C are schematic diagrams of a perspective view and cross-sectional views of an examplequantum processing unit 740. The examplequantum processing unit 740 includes the examplequantum processor chip 720 shown inFIG. 7B and theexample cap wafer 700 shown inFIG. 7A . The examplequantum processing unit 740 includes two 734A, 734B. In some implementations, each of the twopedestal couplers 734A, 734B includes a parallel-plate capacitor with one plate on thepedestal couplers example cap wafer 700 and the opposite plate on the examplequantum processor chip 720. As shown inFIGS. 7A-7C , theexample cap wafer 700 and the examplequantum processor chip 720 are bonded so that the two 722A, 722B on theelectrodes quantum processor chip 720 and the two 702A, 702B on aelectrodes cap wafer 700 are aligned with respect to each other. Particularly, the 702A and 722A form aelectrodes first pedestal coupler 734A; and the 702B and 722B form aelectrodes second pedestal coupler 734B. The two 734A, 734B are connected in series by thepedestal couplers connection 716 on thecap wafer 700. - As shown in
FIG. 7C , bonding bumps 732 provide a galvanic connection between the 724A, 724B on the exampleground planes quantum processor chip 720 and theground plane 704 on thecap wafer 700 forming a continuous and uniform ground throughout both thecap wafer 700 and thequantum processor chip 720. - In some implementations, the areas of the first portion of the
702A, 702B on theelectrodes cap wafer 700 and the 722A, 722B on theelectrodes quantum processor chip 720, and the height of the bonding bumps 732 can be designed and optimized to maximize capacitance and thus the capacitive coupling. In some implementations, the third portion of the 702A, 702B on the recessedcoupling electrodes surface 710 and the depth of therecesses 712 can be also designed and optimized to minimize crosstalk and coupling. The methods and techniques presented here can reduce or eliminate needs for the capability to pattern across sidewalls of recesses. - In some implementations, the
recess 712 on thecap wafer 700 include trenches, each of which is defined by a recessed trench surface and trench sidewalls. The recessed trench surface resides at a depth relative to thefirst surface 708 in thecap wafer 700. As shown inFIG. 7C , when thecap wafer 700 and thequantum processor chip 720 are bonded, the trenches form enclosures that house the coplanar waveguide on thequantum processor chip 720. -
FIG. 8 is a flow chart showing aspects of anexample fabrication process 800. In some implementations, theexample process 800 may be used for fabricating a cap wafer with various superconducting circuitry at various positions, for example, the 214, 216, 218, 220, 222, 224 and another component in thecircuitry portion cap wafer 212. Theexample process 800 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in theexample process 800 can be combined, iterated or otherwise repeated, or performed in another manner. - At 802, a
substrate 822 is prepared. In some implementations, thesubstrate 822 is a float-zone, undoped, single-crystal silicon wafer with a high-resistivity. In some examples, thesubstrate 822 has a thickness of 320 μm, 670 μm, or another thickness. In some instances, atop surface 830 of thesubstrate 822 may be cleaned to remove the native oxide. For example, thesubstrate 822 can be cleaned using a HF etching process and rinsed with deionized (DI) water. In some instances, cleaning of thetop surface 830 of thesubstrate 822 is performed to remove contaminants including organic contaminants and another type of contaminants. In some instances, thesubstrate 822 may be implemented as thesecond substrate 213 inFIG. 2 or in another manner. - At 804, a
first photoresist layer 824 is patterned. In some implementations, thefirst photoresist layer 824 may include a negative or positive tone photoresist layer that is patternable in response to a photolithography light source. In some instances, thefirst photoresist layer 824 may include an e-beam (electron beam) resist layer (e.g., poly methyl methacrylate, methyl methacrylate, or another e-beam resist material) that is patternable in response to an e-beam lithography energy source. In some examples, before patterning, thefirst photoresist layer 824 is formed directly on thetop surface 830 of thesubstrate 822 using a deposition process such as spin-coating, spray-coating, dip-coating, roller-coating, or another deposition method. After deposition, thefirst photoresist layer 824 is then patterned using a lithography process that may involve various exposure, developing, baking, stripping, etching, and rinsing processes. As a result, thefirst photoresist layer 824 is patterned such thatopenings 826 in thefirst photoresist layer 824 expose at least a portion of thetop surface 830 of thesubstrate 822. In some implementations, positions of theopenings 826 are determined according to the positions and arrangement of quantum circuit devices in one or more quantum processor chips (e.g., thequantum circuit devices 204 in thequantum processor chip 202 shown inFIG. 2 ) such that the recesses form respective enclosures that house the quantum circuit devices in the quantum processor chip. In some examples, thefirst photoresist layer 824 has a thickness of 7 μm, or another thickness. - At 806, recesses 828 are formed in the
substrate 822. In some implementations, therecesses 828 are formed by performing an etching process in thesubstrate 822 at theopenings 826 using thefirst photoresist layer 824 as a mask. In some instances, recessedsurfaces 831 are created at the bottom of therecesses 828 in the body of thesubstrate 822. Each of the recessedsurfaces 831 resides at a depth of a few micrometers to a few tens of micrometers relative to thetop surface 830 of thesubstrate 822. In some instances, therecesses 828 have a uniform depth of 24±1.5 μm or another depth. Therecesses 828 are further defined by sidewalls 832, which can be perpendicular to the recessedsurfaces 831 or slopped with respect to the recessedsurface 831. In some cases, therecesses 828 may be implemented as therecesses 232 shown inFIG. 2 , therecesses 406 inFIGS. 4A-4B , and the 616, 650A, 650B, 650C, 650D as shown inrecesses FIGS. 6A-6B . In some instances, therecesses 828 may be formed using a dry etching method, for example, a Deep Reactive Ion Etching (DRIE) process, a cryogenic etching process, a gas-phase etching process, or another type of etching process. - After the formation of the
recesses 828, the firstpatterned photoresist layer 824 may be removed. In some instances, thefirst photoresist layer 824 may be removed by one or more chemical cleaning processes using acetone, 1-Methyl-2-pyrrolidon (NMP), Dimethyl sulfoxide (DMSO), or other suitable removing chemicals. In some examples, the chemicals used may need to be heated to temperatures higher than room temperature to effectively dissolve thefirst photoresist layer 824. The selection of the remover is determined by the type and chemical structure of thefirst photoresist layer 824, and thesubstrate 822 to assure the chemical compatibility of thesubstrate 822 with the chemical cleaning process. In some implementations, this chemical cleaning process is then followed by a rinsing process using isopropyl alcohol or another chemical, and then using DI water. - At 808, a
conductive layer 834 is deposited. In some implementations, theconductive layer 834 may include superconducting metals, superconducting metal alloys, or superconducting compound materials. In some instances, theconductive layer 834 may include multilayer superconductor-insulator heterostructures, stacks of superconducting layers, or another structure. In some examples, an interfacial silicide layer is formed between theconductive layer 834 and thesubstrate 822 during the deposition of theconductive layer 834 due to an interfacial reaction. - In some implementations, the
conductive layer 834 may be deposited on thetop surface 830, the recessedsurfaces 831, and thesidewalls 832. For example, theconductive layer 834 includes a stack of conductive materials, e.g., Nb/TiW/Nb/MoRe having a total thickness of about 560 nanometers (nm). In some instances, the firstconductive layer 834 may be deposited using a Chemical Vapor Deposition (CVD), Physical Vapor Deposition (PVD), or another deposition method. - At 810, a
second photoresist layer 836 is patterned. In some instances, thesecond photoresist layer 836 is patterned on thetop surface 830 and the recessedsurfaces 831 of thesubstrate 822. In certain instances, a first portion of thesecond photoresist layer 836 withopenings 838 may be formed on thetop surface 830 of thesubstrate 822 under a first exposure setting and a second portion of thesecond photoresist layer 836 withopenings 840 is formed on the recessedsurfaces 831 of thesubstrate 822 under a second, distinct exposure setting (e.g., a different exposure time, different intensity of the light source, or a different wavelength of the light source). In some instances, thesecond photoresist layer 836 is deposited and patterned with respect to theoperation 804 described above. In certain implementations, thesecond photoresist layer 836 has a thickness of about 14 μm or another thickness. - At 812,
842A, 842B are formed. In some implementations, acircuitry portions first circuitry portion 842A is formed on thetop surface 830 of thesubstrate 822 corresponding to theopenings 838 in the first portion of thesecond photoresist layer 836. Asecond circuitry portion 842B is formed on the recessedsurfaces 831 of thesubstrate 822 corresponding to theopenings 840 in the second portion of thesecond photoresist layer 836. In some implementations, the 842A, 842B are formed by performing an etching process to remove thecircuitry conductive layer 834 exposed at the 838, 840 without over-etching theopenings substrate 822. In some instances, thefirst circuitry portion 842A may be implemented as thecircuitry portion 214 inFIG. 2 , theground plane 426 inFIGS. 4A-4B , thecircuitry portion 621A, 621B inFIG. 6A, 660 inFIG. 6B , or thecoplanar waveguide 680B/682B inFIG. 6C . In some instances, thesecond circuitry portion 842B may be implemented as thecircuitry portion 216 inFIG. 2 , thecontrol line 416 or theplanar loop 430 of thecontrol line 416 inFIGS. 4A-4B , the planar resonators 504A-504G inFIG. 5 , thecircuitry portion 626 on the recessedsurface 618 inFIG. 6A , and thecircuitry portion 656A/656B inFIG. 6B . - At 814, a
third photoresist layer 844 is patterned. As shown inFIG. 8 , thethird photoresist layer 844 after patterning includesopenings 846 at thetop surface 830 of thesubstrate 822. In some examples, thethird photoresist layer 844 may have a thickness of 18 μm or another thickness. In some implementations, thethird photoresist layer 844 is deposited and patterned with respect to theoperation 804 described above. - At 816, bonding bumps 848 are formed. As shown in
FIG. 8 , the bonding pumps 848 are formed on thetop surface 830 of thesubstrate 822 corresponding to theopenings 846 in thethird photoresist layer 844. In some instances, the bonding bumps 848 are formed by depositing a metallization layer on thesubstrate 822 with the patternedthird photoresist layer 844. In some instances, the metallization layer may include indium (In) and another conductive material. In some instances, the metallization layer may have a thickness in a range of 6-7 micrometers (μm). In some implementations, the metallization layer can be deposited using PVD, CVD, electrodeposition, or another method. After depositing the metallization layer, thethird photoresist layer 844 can be removed with respect to theoperation 806. In some implementations, the height of the bonding bumps 848 after bonding the cap wafer with a quantum processor chip can be less than the thickness of the metallization layer from deposition. For example, a bonding process with a bonding force of a few tens of newton (N) per square millimeter (mm2) can cause a compression to the bonding bumps which defines the gap separating the two respective surfaces of the quantum processor chip and the cap wafer. In some instances, a bonding force is selected to cause a compression of more than 40% the total height of the bonding bumps, resulting the gap in a range of ≤3 μm, or in another range. - In some aspects of what is described here, a modular quantum processing unit includes a first number of quantum processor chips and a second number of cap wafers. The first number may be the same as or different from the second number. Each of the quantum processor chips includes superconducting quantum circuit devices and superconducting circuitry forming a superconducting quantum integrated circuit (QuIC). In some implementations, a cap wafer of the modular quantum processing unit includes inter-module coupler devices, which are configured to bond different quantum processor chips together and to provide inter-module coupling between quantum circuit devices from different quantum processor chips.
- In some implementations, using inter-module coupler devices in the cap wafer to interconnect quantum processor chips can provide technical advantages and improvements over other techniques. For example, the methods and techniques presented here may allow dense packing of quantum circuit devices on chips and hence compact structures in quantum computing architectures. In some implementations, inter-module coupler devices reside on a substrate or on inter-module coupler chips.
- In some implementations, the methods and techniques described here using multichip modular designs can also be used to improve performance of other superconducting radio frequency electronics modules. In some cases, a combination of these and potentially other advantages and improvements may be obtained. This method can facilitate the scaling of the quantum processing unit. The method can provide greater capital efficiency, e.g., higher certainty of using good chips for cooldowns in large dilution refrigerators. The methods and techniques presented here can reduce wafer usage for producing large QPUs than if either the quantum processor chip or cap wafer is monolithic.
-
FIG. 9A is a flow chart showing aspects of anexample fabrication process 900 of assembling a modular quantum processing unit with a single cap wafer for multiple quantum processor chips. Theexample process 900 is used to assemble a modularquantum processing unit 910. At 901, acap wafer 904 and a multiplicity ofquantum processor chips 902 are provided. In some implementations, thecap wafer 904 may be implemented as the 212, 304, 324, 404, 500, 604, 634, 674, or 718; and theexample cap wafer quantum processor chips 902 may be implemented as the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, or 730 as shown inquantum processor chips FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C , or 7A-7C. - At 903, one
quantum processor chip 902 is bonded at a time to thecap wafer 904. In some instances, prior to the bonding of thequantum processor chips 902 to thecap wafer 904, each of thequantum processor chips 902 are characterized in a characterization process and selected according to results of the characterization process. At the end ofoperation 903, all the selectedquantum processor chips 902 are bonded to thecap wafer 904 to form the modularquantum processing unit 910. -
FIG. 9B is a schematic diagram showing aspects of the example modularquantum processing unit 910 assembled according to theexample process 900 inFIG. 9A . The example modularquantum processor unit 910 as shown inFIGS. 9A-9B includes multiplequantum processor chips 902 bonded to acommon cap wafer 904. Thecap wafer 904 includesinter-chip coupler devices 906 that are configured to provide inter-chip coupling between quantum processor chips 902. The example modularquantum processing unit 910 includes 16 quantum processor chips 902. Each of thequantum processor chips 902 are bonded to acap wafer 904 so that certain quantum circuit devices on thequantum processor chips 902 can be interconnected byinter-chip coupler devices 906 on thecap wafer 904. - Each of the
quantum processor chips 902 includes a superconducting quantum integrated circuit (QuIC). The superconducting QuIC can include quantum circuit devices, for example, qubit devices 912 (e.g., transmon devices, fluxonium devices, or other types of superconducting qubit devices), coupler devices 914 (e.g., capacitive coupler device, tunable-frequency coupler device, or others), readout devices, or other types of quantum circuit devices that are used for quantum information processing in the modularquantum processing unit 910. The superconducting QuIC of each of thequantum processor chips 902 may include one or more Josephson junctions, capacitors, inductors, and other types of circuit elements. In some implementations, the example modularquantum processing unit 910 may include additional and different features or components, and components of the example modularquantum processing unit 910 may be implemented in another manner. - As shown in the example modular
quantum processing unit 910, each of thequantum processor chips 902 includes a module integration plate. The substrate supports the superconducting QuIC of thequantum processor chip 902. In certain examples, thecap wafer 904 includes a substrate which supports theinter-chip coupler devices 906 and other superconducting circuit elements of the cap wafer 904 (e.g., through-silicon vias, control lines, etc.). In some implementations, the example modularquantum processing unit 910 may include more than twoquantum processor chips 902 on multiple dies/substrates bonded to thecap wafer 904. - In some implementations, the substrates of the
quantum processor chips 902 and thecap wafer 904 may include a dielectric substrate (e.g., silicon, sapphire, etc.). In certain examples, the substrates may include an elemental semiconductor material such as, for example, silicon (Si), germanium (Ge), selenium (Se), tellurium (Te), or another elemental semiconductor. In some instances, the substrates may also include a compound semiconductor such as silicon germanium (SiGe), silicon carbide (SiC), silicon germanium carbide (SiGeC), aluminum oxide (sapphire), gallium arsenide (GaAs), indium arsenide (InAs), indium phosphide (InP), gallium arsenic phosphide (GaAsP), or gallium indium phosphide (GaInP). In some instances, the substrates may also include a superlattice with elemental or compound semiconductor layers. In some instances, the substrates include an epitaxial layer. In some examples, the substrates may have an epitaxial layer overlying a bulk semiconductor or may include a semiconductor-on-insulator (SOI) structure. In some instances the substrates may comprise low dielectric constant materials, such as silicon oxides including fused silica and crystalline quartz. - The superconducting QuIC on each of the
quantum processor chips 902 and the superconducting circuitry on thecap wafer 904 include superconducting materials. In some implementations, the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the example modularquantum processing unit 910, or another superconducting metal. In some implementations, the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy. In some implementations, the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material. In some instances, the superconducting materials may include multilayer superconductor-insulator heterostructures. - In some implementations, the superconducting QuIC on each of the
quantum processor chips 902 and the superconducting circuitry on the cap wafer 904 (e.g., the inter-chip coupler devices 906) can be formed on surfaces of the substrates and patterned using a microfabrication process or in another manner. For example, the superconducting QuIC on each of thequantum processor chips 902 and the superconducting circuitry (including the inter-chip coupler devices 906) on thecap wafer 904 may be formed by performing at least some of the following fabrication processes: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), and/or other suitable techniques to deposit respective superconducting layers on the substrates; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.) to form openings in the respective superconducting layers. - In the example shown in
FIG. 9B , thequbit devices 912 in the superconducting QuIC of thequantum processor chips 902 may be arranged in a rectilinear (e.g., rectangular, or square) array that extends in two spatial dimensions (e.g., in the plane of the page). In some implementations, thequbit devices 912 can be arranged in another type of ordered array. In some instances, the rectilinear array of quantum processor chips also extends in a third spatial dimension (e.g., in/out of the page), for example, to form a cubic array or another type of three-dimensional array. - Each of the
quantum processor chips 902 of the example modularquantum processing unit 910 includes one ormore qubit devices 912. In some examples, the qubit frequency of a qubit device is not tunable by application of an offset field and is independent of magnetic flux experienced by the qubit device. For instance, a fixed-frequency qubit device may have a fixed qubit frequency that is defined by an electronic circuit of the qubit device. As an example, a superconducting fixed-frequency qubit device (e.g., a fixed-frequency transmon qubit device) may be implemented without a SQUID (Superconducting Quantum Interface Device) loop. In some examples, the qubit frequency of aqubit device 912 in a superconducting QuIC of aquantum processor chip 902 is tunable, for example, by application of an offset field. For instance, a superconducting tunable-frequency qubit device may include a superconducting loop (e.g., a SQUID loop), which can receive a magnetic flux that tunes the qubit frequency of the tunable-frequency qubit device. In this case, thecap wafer 904 of thequantum process modules 902 may include fluxbias control lines 926 for tuning the magnetic flux through the SQUID loops of thequbit devices 912. In some instances, the superconducting QuIC of thequantum process modules 902 includes drive signal lines that are configured to communicate microwave control signals to thequbit devices 912. The superconducting QuIC of thequantum processor chips 902 may include additional devices, including additional qubit devices, readout resonators, or other quantum circuit devices. - In some instances, the
coupler devices 914 in the quantum processor chips may include tunable-frequency coupler devices. In some implementations, a tunable-frequency coupler device 914 resides between twoneighboring qubit devices 912 and controls the interaction between the twoqubit devices 912. Each of the tunable-frequency coupler devices 914 may be implemented as a tunable-frequency transmon qubit device or another type of tunable-frequency qubit device. In this case, the control lines include coupler flux control lines that can communicate control signals to the tunable-frequency coupler device and tune the flux bias in order to tune the operating frequency of the tunable-frequency coupler devices and thus the coupling between twoqubit devices 912. In some implementations, a control signal can be a direct current (DC) signal communicated, for example, from the control system to the individual tunable-frequency coupler device on aquantum processor chip 902. In some implementations, a control signal can be an alternating current (AC) signal communicated to the individual tunable-frequency coupler device. In some cases, the AC signal may be superposed with a direct current (DC) signal. Other types of control signals may be used. - As shown in
FIG. 9B , theinter-chip coupler device 906 is configured to provide inter-chip coupling between quantum circuit devices on distinct quantum processor chips 902. In some implementations, each of theinter-chip coupler devices 906 includes a planar microwave transmission line, for example coplanar waveguides, substrate integrated waveguides, or another type of planar transmission line structure. Connections between theinter-chip coupler device 906 and quantum circuit devices can be galvanic, for example through superconductive contacts (e.g., indium bumps and contact electrodes) or capacitive through parallel capacitor electrodes. Thus, theinter-chip coupler devices 906 are galvanically or capacitively coupled to thequantum processor chips 902 allowing microwave signals to propagate between the two quantum processor chips 902. In some examples, theinter-chip coupler devices 906 include a quantum bus architecture, which can be used to selectively provide inter-module coupling between different qubit devices on different quantum processor chips. - In some implementations, the
cap wafer 904 is bonded to thequantum processor chips 902 through superconductive contacts or other types of bonding bumps 924. In some implementations, acap wafer 904 further includes through-holeconductive vias 922 that connect top and bottom surfaces of thecap wafer 904. In some implementations, the through-holeconductive vias 922 include a material (e.g., Al, In, Ti, Pn, Sn, etc.) that is superconducting at an operating temperature of the example modularquantum processing unit 910. In some implementations, each of the bonding bumps 924 may include conductive or superconductive materials, such as copper or indium bumps. In some implementations, the bonding bumps 924 can provide electrical communication of the superconducting QuIC of thequantum processor chips 902 with the superconducting circuitry on thecap wafer 904. The gap separating thecap wafer 904 and thequantum processor chips 902 is determined by the height of the bonding bumps 924. In some instances, superconducting bonding bumps can be selectively structured between the surface of thecap wafer 904 and the surface of thequantum processor chips 902 to segment the ground plane. Segments of the ground plane, which, for example, can be kept at an equipotential, can control the flow of supercurrent to prevent flux currents from intermingling. - In some instances, the
cap wafer 904 may also include other circuit elements. For example, thecap wafer 904 may include resonator devices which are capacitively coupled toqubit devices 912 to readout qubits. In some examples, thecap wafer 904 may include microwave feedlines which are coupled to one or several of the resonator devices to allow microwave excitation of the resonator devices used to readout qubits of qubit devices. Thecap wafer 904 may further include filters, isolators, circulators, amplifiers, or other circuit elements. In some instances, through-hole vias 922 can be used as a part of control lines to transmit control signals received from one side of thecap wafer 904 to the other side that faces the quantum processor chips 902. -
FIG. 10A is a flow chart showing aspects of anexample fabrication process 1000 of assembling a modular quantum processing unit with one cap wafer for each of quantum processor chips. Theexample process 1000 is used for assembling a modularquantum processing unit 1010. At 1001, a multiplicity ofcap wafers 1004 and a corresponding multiplicity ofquantum processor chips 1002 are provided. In some implementations, thecap wafer 1004 may be implemented as the 212, 304, 324, 404, 500, 604, 634, 674, or 718; and theexample cap wafer quantum processor chips 1002 may be implemented as the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, or 730 as shown inquantum processor chips FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C , or 7A-7C. - At 1003, one
quantum processor chip 1002 is bonded at a time to itscorresponding cap wafer 1004 to form a quantum processor module. At the end ofoperation 1003, all thequantum processor chips 1002 are bonded to thecorresponding cap wafers 1004; and a multiplicity of quantum processor modules is formed. In some implementations, all the quantum processor modules are bonded together on amodule integration plate 1008 which provides inter-chip couplings between thequantum processor chips 1002 in the quantum processor modules. -
FIG. 10B is a schematic diagram showing aspects of the example modularquantum processing unit 1010 assembled according to theexample process 1000. The example modularquantum processor unit 1010 includesquantum processor chips 1002 bonded tocorresponding cap wafer 1004. As shown in the example modularquantum processor unit 1010, eachquantum processor chip 1002 is bonded to acorresponding cap wafer 1004. In other words, eachcap wafer 1004 supports only onequantum processor chip 1002. Each pair ofquantum processor chip 1002 andcap wafer 1004 forms a quantum processor module. Quantum processor modules are bonded to a separatemodule integration plate 1008 that includesinter-module coupler devices 1006 for providing inter-chip coupling between different quantum processor chips in distinct quantum processor modules. Thecap wafer 1004 may be implemented as thecap wafer 904 as shown inFIGS. 9A-9B ; and thequantum processor chips 1002 are implemented as thequantum processor chips 902 as shown inFIGS. 9A-9B . Theinter-module coupler device 1006 may be galvanically connected to the superconducting circuitry on thequantum processor chip 1002. Themodule integration plate 1008 may include other superconducting circuit elements that can provide inter-chip coupling between non-neighboring quantum processor chips or quantum processor chips on non-neighboring cap wafers. - In some implementations, the
inter-module coupler devices 1006 are implemented as theinter-module coupler devices 906 described above with reference toFIGS. 9A-9B . In some instances, the through-hole conductive vias 1022, the bonding bumps 1024, thecontrol lines 1026, thequbit devices 1012 and thecoupler devices 1014 are implemented as the through-holeconductive vias 922, the bonding bumps 924, thecontrol lines 926, thequbit devices 912 and thecoupler devices 914 as shown inFIGS. 9A-9B , or in another manner. -
FIG. 11 is a flow chart showing aspects of anexample manufacturing process 1100 of inter-module coupler devices on a substrate. Theexample process 1100 is used to fabricate inter-module coupler devices on a substrate (e.g., theinter-module coupler device 1006 on themodule integration plate 1008 in the example modularquantum processing unit 1010 inFIG. 10 ). Theexample process 1100 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in theexample process 1100 can be combined, iterated or otherwise repeated, or performed in another manner. As shown inFIG. 11 , different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown inFIG. 11 . Accordingly, an instance of theprocess 1100 does not generally include all operations shown inFIG. 11 . - In some implementations, inter-module coupler devices are fabricated on a silicon wafer or a PCB single redistribution layer (RDL) device with solder bumps or balls in order to accommodate quantum processor modules. A single-layer RDL includes a superconductive material and patterned to serve as an inter-module coupler device with a line-space resolution quite typical for silicon device optical lithography or PCB technology. Solder elements are made of superconductive metal or alloy compatible with pads on a backside of the quantum processor chips for providing a reliable and superconductive permanent joint contact between a substrate and the quantum processor module. Temperature hierarchy of substrate soldering must be respected such that the quantum processor module integrity is maintained by keeping the substrate to the quantum processor modules temperature to not exceed the quantum processor chip to the cap wafer packaging solder melting point temperature.
- At 1102, a substrate is cleaned. The
substrate 1120 can be a crystalline silicon substrate or another type of dielectric substrate. In some instances, thesubstrate 1120 may be a single crystal silicon wafer with intrinsic doping concentration or another doping concentration. In some instances, the single crystal silicon wafer may have an orientation in {100}, {110}, {111}, or another orientation. In some instances, thesubstrate 1120 may be implemented as the 203, 213 insubstrate FIG. 2 or in another manner. In some instances, thesubstrate 1120 may be a PCB substrate. - At 1104, a superconducting structure is formed on the substrate. The
superconducting structure 1124 includes a superconducting material. In some instances, the superconducting material may include a superconducting metal, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the examplequantum processing unit 200, or another superconducting metal. In some implementations, the superconducting material may include a superconducting metal alloy, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy. In some implementations, the superconducting material may include superconducting compound material, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material. In some instances, the superconducting material may include multilayer superconductor-insulator heterostructures. - In some instances, the
superconducting structure 1124 may be formed on the surface of thesubstrate 1120 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.). - At 1106, an under-bump superconductive structure is formed. In some instances, the under-
bump superconductive structure 1126 may be formed on the surface of thesubstrate 1120 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.). In some instances, the under-bump superconductive structure includes a superconducting material, e.g., Mo/Re alloy. - Once the under-bump superconductive structures are formed, the
example process 1100 continues withoperation 1108 to form bumps orposts 1128 oroperation 1110 to formsolder balls 1130 over the under-bump superconductive structure. In some instances, the bumps,posts 1128 or thesolder balls 1130 are fabricated by one or more of the following processes: placement, vacuum deposition and liftoff, electro or electroless plating through the mask, or another process. -
FIG. 12A is a flow chart showing aspects of anexample fabrication process 1200 of assembling a modular quantum processing unit. Theexample process 1200 is used for fabricating a modularquantum processing unit 1220. The modularquantum processing unit 1200 includes multiplequantum processor chips 1212; and each of the quantum processor chips includes a superconducting quantum integrated circuit with superconducting circuitry and quantum circuit devices. The modularquantum processing unit 1220 includesmultiple cap wafers 1214. Eachcap wafer 1214 is bonded to multiplequantum processor chips 1212, forming a quantum processor module 1216. The quantum processor modules 1216 are assembled on to a substrate, where thecap wafers 1214 are facing the substrate. The quantum processor modules 1216 can be organized on the substrate in an array. In some implementations, the quantum processor modules 1216 can be communicably coupled to each other throughinter-module coupler chips 1218. Each of theinter-module coupler chips 1218 may include one or more inter-module coupler devices that are communicably coupled to thecap wafers 1214. In some implementations, theinter-module coupler chip 1218 may be implemented as thequantum processor chip 1212. In some instances, theinter-module coupler chip 1218 may include superconducting circuitry with different design from that of thequantum processor chip 1212. In some instances, theinter-module coupler chip 1218 may reside at the edges of neighboringcap wafers 1214 for couplingquantum processor chips 1212 from two or more quantum processor modules 1216. In some implementations, thecap wafer 1214 may be implemented as the 1904, 2001, 2031, 2041 as shown inmulti-layered cap wafer FIGS. 19A-19C and 20A-20C , or in another manner. - As shown in
FIG. 12A , a modularquantum processor unit 1220 includes 16 quantum processor chips in 4×4 array with each of the fourcap wafers 1214 bonded to fourquantum processor chips 1212 forming four quantum processor modules 1216. In some instances, four quantum processor modules 1216 in a modularquantum processing unit 1220 may not include the same number ofcap wafers 1214 or the same number ofquantum processor chips 1212. For example, the 16quantum processor chips 1212 may be bonded to three cap wafers including two cap wafers bonded to four quantum processor chips and one cap wafer bonded to eight quantum processor chips. Thecap wafers 1214 do not need to be square, they may be rectangular (e.g., thecap wafer 324 inFIG. 3B ), or can have a more complex shape, such as L-shape, etc. In the example shown inFIG. 12A , thecap wafers 1204 may each include a plurality of wafers that are oriented parallel to one another and parallel to thequantum processor chips 1212. - In some implementations, a modular
quantum processor unit 1220 may include a first multiplicity ofcap wafers 1214 bonded to a second multiplicity ofquantum processor chips 1212, where the first multiplicity is less than the second multiplicity. Eachcap wafer 1214 is bonded to more than onequantum processor chips 1212. Eachquantum processor chip 1212 may be bonded to one ormore cap wafers 1214. Furthermore, all thecap wafers 1214 do not need to be the same size, the same shape, and/or all thequantum processor chips 1212 do not need to be the same size. Thecap wafers 1214 may be square, rectangular, or any other shape that is convenient for the task of forming recesses and waveguides for the quantum circuit devices and superconducting circuitry on thequantum processor chips 1212, communicating control signals into or readout signals out of thequantum processor chips 1212, and providing inter-chip coupling as required. -
FIG. 12B is a flow chart showing aspects of anexample fabrication process 1230 of assembling a modular quantum processing unit. Theexample process 1230 is used for fabricating a modularquantum processing unit 1250. The modularquantum processing unit 1250 includes multiplequantum processor chips 1242; and each of thequantum processor chips 1242 includes a superconducting quantum integrated circuit with superconducting circuitry and quantum circuit devices. The modularquantum processing unit 1250 includesmultiple cap wafers 1244. Eachquantum processor chip 1242 is bonded tomultiple cap wafers 1244, forming a quantum processor module 1246. The quantum processor modules 1246 are assembled on to a substrate, where thecap wafers 1244 are facing the substrate. The quantum processor modules 1246 can be organized on the substrate in an array. In some implementations, the quantum processor modules 1246 can be communicably coupled to each other throughinter-module coupler chips 1248. Each of theinter-module coupler chips 1248 may include one or more inter-module coupler devices that are communicably coupled to thequantum processor chips 1242. In some implementations, theinter-module coupler chip 1248 may be implemented as thecap wafers 1244. In some instances, theinter-module coupler chip 1248 may include superconducting circuitry with different design from thecap wafers 1244. In some instances, theinter-module coupler chip 1248 may reside at the edges of neighboringquantum processor chips 1242 for couplingquantum processor chips 1242 from two or more quantum processor modules 1246. In some implementations, thecap wafer 1244 may be implemented as the 1904, 2001, 2031, 2041 as shown inmulti-layered cap wafer FIGS. 19A-19C and 20A-20C , or in another manner. - As shown in
FIG. 12B , a modularquantum processor unit 1250 includes 4quantum processor chips 1242 in 2×2 array with each of the fourquantum processor chips 1242 bonded to fourcap wafers 1244 forming four quantum processor modules 1246. In some instances, four quantum processor modules 1246 in a modularquantum processing unit 1250 may not include the same number ofcap wafers 1244 or the same number ofquantum processor chips 1242. For example, onequantum processor chip 1242 may be bonded to twocap wafers 1244; twoquantum processor chips 1242 each is bonded to fivecap wafers 1244; and onequantum processor chip 1242 is bonded to fourcap wafers 1244. Thecap wafers 1244 and thequantum processor chips 1242 do not need to be square, they may be rectangular (e.g., thecap wafer 324 inFIG. 3B ), or can have a more complex shape, such as L-shape, etc. - In some instances, each
cap wafer 1244 may be bonded to more than onequantum processor chips 1242. Eachquantum processor chip 1242 may be bonded to one ormore cap wafers 1244. Furthermore, all thecap wafers 1244 do not need to be the same size, the same shape, and/or all thequantum processor chips 1242 do not need to be the same size. Thecap wafers 1244 may be square, rectangular, or any other shape that is convenient for the task of forming recesses and waveguides for the quantum circuit devices and superconducting circuitry on thequantum processor chips 1242, communicating control signals into or readout signals out of thequantum processor chips 1242, and providing inter-chip coupling as required. In the example shown inFIG. 12B , thecap wafers 1244 may each include a plurality of wafers that are oriented parallel to one another and parallel to thequantum processor chip 1242. -
FIG. 13 is a schematic diagram showing aspects of an example modularquantum processing unit 1300. As shown inFIG. 13 , the example modularquantum processing unit 1300 includes an array ofquantum processor chips 1302 and an array ofcap wafers 1304. In some implementations, each of thecap wafers 1304 may be implemented as the 212, 304, 324, 404, 500, 604, 634, 674, or 718; and each of theexample cap wafer quantum processor chips 1302 may be implemented as the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, or 730 as shown inquantum processor chips FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C , or 7A-7C. In some instances, the array ofquantum processor chips 1302 includes a first number ofquantum processor chips 1302; and the array ofcap wafers 1304 includes a second number ofcap wafers 1304. In some implementations, the first number is greater than the second number. For example, as shown inFIG. 13 , a 4×4 array ofquantum processor chips 1302 are bonded to a 3×3 array ofcap wafers 1304. 8quantum processor chips 1302 that includes inter-module coupler devices are bonded to more than onecap wafers 1304. -
FIG. 14 is a schematic diagram showing aspects of an example modularquantum processing unit 1400. As shown inFIG. 14 , the quantum processor modules (e.g., a pair of acap wafer 1404 and a quantum processor chip 1402) are bonded to amodule integration plate 1408. In some implementations, the module integration plate 1408 (e.g., waffle-shape carrier for quantum processor modules, or “waffle” carrier) includesrecesses 1428 that house respectivequantum processor chips 1402 of a quantum processor module. In some instances, themodule integration plate 1408 may include multiple recessed surfaces with different depths and shapes (FIG. 15 ) for housing respective quantum processor chips and cap wafers. Therecesses 1428 on themodule integration plate 1408 may have different shapes and depths. Furthermore, all therecesses 1428 do not need to be the same size. In some implementations, the recesses on themodule integration plate 1408 are configured according to the configurations of thequantum processor chips 1402, thecap wafers 1404 and the quantum processor modules. Themodule integration plate 1408 is electrically coupled to thecap wafers 1404. In this case, the inter-chip coupling between twoquantum processor chips 1402 are through thecap wafers 1404 and themodule integration plate 1408. In some instances, themodule integration plate 1408 has a monolithic structure configured for housing allquantum processor chips 1402 in the examplequantum processing unit 1400. In some instances, the example modularquantum processing unit 1400 may include multiplemodule integration plates 1408; and eachmodule integration plate 1408 is configured for housing a subset of thequantum processor chips 1402. The multiplemodule integration plates 1408 may be interconnected, supported, or otherwise integrated by a common plate or in another manner. In some implementations, themodular quantum processor 1400 includes multiplemodule integration plates 1408. Each of themodule integration plates 1408 may bond to one or more quantum processor modules. In some implementations, thecap wafer 1404 and thequantum processor chips 1402 are implemented as thecap wafers 1004; and the quantum processor chips are implemented as thequantum processor chips 1002 inFIGS. 10A-10B . In some implementations, themodule integration plate 1408 may be implemented as themodule integration plate 1700 shown inFIG. 17 or in another manner. -
FIG. 15 is a schematic diagram showing a perspective view of an examplemodule integration plate 1500. As shown inFIG. 15 , themodule integration plate 1500 includesmultiple recesses 1502 and each of therecesses 1502 includesmultiple cavities 1504. Each of therecesses 1502 resides on a first surface of themodule integration plate 1500 and extends to a recessed surface at a depth from the first surface. Each of thecavities 1504 resides on a recessed surface of arecess 1502 and extends to a second, opposite surface of themodule integration plate 1500. In some implementations, arecess 1502 can house a quantum processor chip in a quantum processor module; and acavity 1504 may be configured to mate with a thermalization structure (e.g., metal pillars) for dissipating heat generate by a quantum processor chip housed in a respective recess. Areas between neighboringrecesses 1502 defineridges 1506 on the first surface of themodule integration plate 1500. In some instances, inter-module coupler devices reside on the first surface at theridges 1506 for coupling quantum processor chips that are housed indistinct recesses 1504. In some instances, themodule integration plate 1500 may include other superconducting circuitry that can carry signals at other surfaces (e.g., the second surface of the module integration plate 1500). In some instances, themodule integration plate 1500 may be fabricated according to operations in the example processes 1600, 1640 shown inFIGS. 16A-16B , or in another manner. -
FIG. 16A is a flow chart showing aspects of anexample process 1600 of manufacturing a module integration plate. In some implementations, theexample process 1600 is used for fabricating a module integration plate (e.g., the 1408, 1500, 1700 as shown inmodule integration plates FIGS. 14, 15, and 17 ), which includes recesses, through-hole vias, and inter-module coupler devices. Theexample process 1600 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in theexample process 1600 can be combined, iterated or otherwise repeated, or performed in another manner. As shown inFIG. 16A , different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown inFIG. 16A . Accordingly, an instance of theprocess 1600 does not generally include all operations shown inFIG. 16A . - At 1602, a substrate is prepared. The
substrate 1620 can be a crystalline silicon substrate or another type of dielectric substrate. In some instances, thesubstrate 1620 may be a single crystal silicon wafer with intrinsic doping concentration or another doping concentration. In some instances, the single crystal silicon wafer may have an orientation in {100}, {110}, {111}, or another orientation. In some instances, a surface of thesubstrate 1620, e.g., a polished surface, may be etched and cleaned to remove a native oxide layer, particles or organic contaminants. For example, thesubstrate 1620 can be etched in a buffered oxide etchant (BOE) containing an aqueous solution of ammonium fluoride and hydrofluoric acid, thoroughly rinsed with deionized (DI) water, and dried with a flow of nitrogen. In some instances, thesubstrate 1620 may be cleaned using different chemical solutions in another cleaning process. - In some implementations, the
substrate 1620 includes a buriedoxide layer 1622. In some instances, a buriedoxide layer 1622 is a buried layer of silicon oxide in thesubstrate 1620. A buriedoxide layer 1622 can be formed by directly introducing oxygen ions underneath the surface of the silicon substrate using an ion implantation process. In this case, the energy and dose of the oxygen ions can be determined according to the range and the profile of the implanted layer. In some other instances, after the ion implementation process, thesubstrate 1620 can be annealed to remove the degradation to the crystalline silicon layer caused by the implanted oxygen ions. In some instances, the buriedoxide layer 1622 can be formed using another process. For example, thesubstrate 1620 with a buriedoxide layer 1622 can be formed using a bonding and etch-back process. For example, two substrates can be cleaned and bonded by sandwiching a silicon oxide layer between two silicon wafers followed by thinning one substrate down to a desired thickness. - At 1604, trenches are formed in the substrate. As shown in
FIG. 16A , the 1624A, 1624B are formed on both surfaces of thetrenches substrate 1620. In some instances, each of the 1624A, 1624B extends along the Z-direction and has a bottom terminated at the buriedtrenches oxide layer 1622. In some implementations, depths of the 1624A, 1624B in the Z-direction are defined by the thickness of each of the silicon layers on each side of the buriedtrenches oxide layer 1622 in thesubstrate 1620. In some implementations, the 1624A, 1624B also extend in the X-Y plane to define boundaries of recesses and through-hole vias. In particular, thetrenches trenches 1624A in thesubstrate 1620 on one side of the buriedoxide layer 1622 define locations of sidewalls of the recesses in thesubstrate 1620; and thetrenches 1624B in thesubstrate 1620 on the other side of the buriedoxide layer 1622 define locations of sidewalls of the through-hole vias in thesubstrate 1620. In some instances, the 1624A, 1624B may be formed on thetrenches substrate 1620 by performing at least some of the following processing steps on each side of the substrate 1620: performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.); and performing a wet/dry etching process. - At 1606, an oxidation layer is formed on the substrate. In some implementations, an
oxidation layer 1626 is formed conformally on both of the surfaces of thesubstrate 1620 and sidewalls of thetrenches 1624. In some instances, theoxidation layer 1626 can be formed by performing a thermal oxidation process, an atomic layer deposition (ALD) process, a chemical vapor deposition (CVD) process, a physical vapor deposition (PVD) process, or another process. - At 1608, the oxidation layer on the substrate is patterned. As shown in
FIG. 16A , theoxide layer 1626 is patterned to formopenings 1628 by removing the oxide layer in areas defined by the surrounding 1624A, 1624B extending in the X-Y plane; thetrenches oxide layer 1626 is also patterned by removing the oxide layer in areas where the inter-module coupler devices are formed. Theoxidation layer 1626 is patterned by performing at least some of the following processing steps: performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.); and using a dry/wet etching process. - At 1610, superconducting structures are formed on the substrate. In some instances,
superconducting structures 1632 are formed on the surface of thesubstrate 1620 in at least a subset of theopenings 1628. Asuperconducting structure 1632, which may include one or more contact pads with superconducting lines, is part of a respective inter-module coupler device (e.g., theinter-module coupler device 1406 as shown inFIG. 14 ) which are configured for enabling communication between quantum processor chips (e.g., quantum processor chips 1402) housed in the recesses (e.g., the recesses 1428) of the substrate 1620 (e.g., the module integration plate 1408) through respective cap wafers (e.g., the cap wafers 1404). In some instances, thesuperconducting structure 1632 may be formed on the surface of thesubstrate 1620 by performing at least some of the following processing steps: using chemical vapor deposition (CVD), physical vapor deposition (PVD), atomic layer deposition (ALD), spin-on coating, and/or other suitable techniques; and performing one or more patterning processes (e.g., a lithography process, a dry/wet etching process, a soft/hard baking process, a cleaning process, etc.). - In some implementations, the
superconducting structure 1632 includes superconducting materials. In some instances, the superconducting materials may be superconducting metals, such as aluminum (Al), niobium (Nb), tantalum (Ta), vanadium (V), tungsten (W), indium (In), titanium (Ti), Lanthanum (La), lead (Pb), tin (Sn), and/or zirconium (Zr), that are superconducting at an operating temperature of the examplequantum processing unit 200, or another superconducting metal. In some implementations, the superconducting materials may include superconducting metal alloys, such as molybdenum-rhenium (Mo/Re), niobium-tin (Nb/Sn), or another superconducting metal alloy. In some implementations, the superconducting materials may include superconducting compound materials, including superconducting metal nitrides and superconducting metal oxides, such as titanium-nitride (TiN), niobium-nitride (NbN), zirconium-nitride (ZrN), hafnium-nitride (HfN), vanadium-nitride (VN), tantalum-nitride (TaN), molybdenum-nitride (MoN), yttrium barium copper oxide (Y—Ba—Cu—O), or another superconducting compound material. In some instances, the superconducting materials may include multilayer superconductor-insulator heterostructures. - At 1612, recesses and through-hole vias are formed on the substrate. As shown in
FIG. 16A , the silicon layer exposed by at least a subset of theopenings 1628 on both of the surfaces of thesubstrate 1620 is removed by performing an etching process to form therecess 1636 and the through-hole via 1638. In some instances, the patternedoxide layer 1626 is compatible with the etching process; and thesuperconducting structure 1632 is protected, e.g., by a patterned photoresist layer, during the etching process. In other words, an etch rate of the silicon layer at theopenings 1628 is great enough so that etch rates of the oxide layer and the superconducting material in thesuperconducting structure 1632 are negligible. In some instances, after the silicon layers are etched, portions of the buried oxide layer 122 exposed by therecess 1636 and the through-hole vias 1638 in the silicon layer are also removed after the silicon layer is removed, for example by performing an etching process. In other words, the through-hole vias 1638 connects the recessed surface of therecesses 1636 and one of the surfaces of thesubstrate 1620. In some implementations, the patternedoxidation layer 1626 is removed. -
FIG. 16B is a flow chart showing aspects of anexample process 1640 of manufacturing a module integration plate. In some implementations, theexample process 1640 is used for fabricating a module integration plate (e.g., the 1408, 1500, 1700 as shown inmodule integration plates FIGS. 14, 15, and 17 ), which includes recesses, through-hole vias, and inter-module coupler devices. Theexample process 1640 may include additional or different operations, including operations to fabricate additional or different components, and the operations may be performed in the order shown or in another order. In some cases, operations in theexample process 1640 can be combined, iterated or otherwise repeated, or performed in another manner. As shown inFIG. 16B , different structures can be produced according to different paths through the flow chart, and a path may include only a subset of the operations shown inFIG. 16B . Accordingly, an instance of theprocess 1640 does not generally include all operations shown inFIG. 16B . - In some implementations,
1642 and 1644 are performed with respect tooperations 1602 and 1610;operations 1646 and 1648 are performed with respect to theoperations 1604 and 1606; andoperations 1650 and 1652 are performed with respect to theoperations 1608 and 1612 in theoperations example process 1600 as shown inFIG. 16A . In some instances, the 1642, 1644, 1646, 1648, 1650, and 1652 may be performed in another manner.operations -
FIG. 17 shows perspective view and cross-section view (A-A′) of an examplemodule integration plate 1700. In some implementations, the examplemodule integration plate 1700 is fabricated in asubstrate 1702 according to the operations in the 1600, 1640 inexample process FIGS. 16A, 16B . Themodule integration plate 1700 may be implemented as themodule integration plate 1820 in the modularquantum processing unit 1800 inFIGS. 18A, 18B . - As shown in
FIG. 17 , the examplemodule integration plate 1700 includes fourrecesses 1706, each of which is defined by sidewalls 1712 and a recessedsurface 1714 which resides at a depth from afirst surface 1704A of thesubstrate 1702. The examplemodule integration plate 1700 further includescavities 1708A and through-hole vias 1708B which connects the recessedsurfaces 1714 at the fourrecesses 1706 to a second, oppositesurface 1704B of thesubstrate 1702. Each of therecesses 1706 has a rectangular shape in the X-Y plane and thesidewalls 1712 are normal to the first surface 1704 and the recessedsurface 1714; and each of the through-hole vias has a circular shape in the X-Y plane and respective sidewalls are normal to the second and recessed 1704B, 1714. In some instances, thesurfaces recesses 1706, cavities 1708A, and through-hole vias 1708B may have different shapes in the X-Y plane and sidewalls may not be normal to the respective surfaces. - Each of the
recesses 1706 is communicably connected with twocavities 1708A and an array of through-hole vias 1708B extending from the recessedsurface 1714 to thesecond surface 1704B. In some instances, thecavities 1704A and the through-hole vias 1704B in thesubstrate 1702 may have different sizes. As shown inFIG. 17 , thecavities 1708A have greater diameters in the X-Y plane than that of the through-hole vias 1708B. In some implementations, thecavities 1708A are configured to mate with a thermalization substrate so that when being assembled with a quantum processor chip, metal pillars of the thermalization structure are in mechanical contact with the quantum processor chip housed in the recess for dissipating heat generated. In some implementations, the through-hole vias 1708B are configured to mate with an interposer, so that when being assembled with a quantum processor chip, spring-loaded pin contacts of the interposer are in electrical contact with the quantum processor chip (e.g., to ground). - As shown in
FIG. 17 , themodule integration plate 1700 includes aninter-module coupler device 1710 on thefirst surface 1704A of thesubstrate 1702 at areas between twoneighboring recesses 1706. Theinter-module coupler device 1710 includes a superconducting structure which may be implemented as thesuperconducting structure 1632 as shown inFIGS. 16A, 16B or in another manner. Theinter-module coupler device 1710, when being assembled with quantum processor modules in a modular quantum processing unit, forms electrical connections with the superconducting circuitry of the cap wafers and further to the respective quantum processor chips, which are housed by therecesses 1706 in themodule integration plate 1700. In particular, each of therecesses 1706 of themodule integration plate 1700 is configured to house two quantum processor chips which are capped by a common cap wafer in a quantum processor module. In some examples, each of the recesses may be configured to house more than two quantum processor chips. Each of the quantum processor chips housed in two distinct recesses are interconnected by respectiveinter-chip coupler devices 1710 at the first surface 1704 between the twodistinct recesses 1706. Theinter-module coupler devices 1710 can provide electrical connections between quantum processor chips housed indistinct recesses 1706 of themodule integration plate 1700. - As shown in
FIG. 17 , themodule integration plate 1700 includesopenings 1716 into therecesses 1706 defined at the first surface 1704. In some instances, after being assembled with the quantum processor modules, cap wafers of the quantum processor modules can be disposed overrespective openings 1706 and over at least a portion of the first surface 1704 around therespective openings 1706; and quantum processor chips of the quantum processor modules are disposed at a depth between the first surface 1704 and the recessedsurface 1714. In some implementations, a modular quantum processing unit includes multiple cap wafers and multiple cap wafers may disposed over respective openings of the respective recesses. In some implementations, themodule integration plate 1700 is fabricated on a silicon wafer, a PCB substrate, or another type of substrate. -
FIG. 18A includes schematic diagrams of explode-view and assembled-view of an example modularquantum processing unit 1800. As shown inFIG. 18A , the modularquantum processing unit 1800 includesquantum processor modules 1810 which includes one or morequantum processor chips 1814 and one ormore cap wafers 1812. Each of thequantum processor chips 1814 includes a superconducting integrated circuit with quantum circuit devices (e.g., qubit devices, coupler devices, readout devices, etc.). Each of thecap wafer 1812 includes superconducting circuitry with control lines and other circuit components. Acap wafer 1812 is mechanically bonded and electrically connected to at least onequantum processor chip 1814. The control lines are configured to communicate control signals between the quantum processor chips and a control system (e.g., the control system 105 in the quantum computing system 103 ofFIG. 1 ). In some instances, the control lines include microwave drive lines, qubit flux bias lines, coupler flux bias lines, or other signal lines. Thequantum processor module 1810 may be implemented as the quantum processor modules shown inFIGS. 2, 3A, 3B, 4B, 6A, 6B, 9A, 9B, 10A, 12, 13 , or in another manner. - The superconducting circuitry of the
cap wafer 1812 connectsinter-module coupler devices 1826 through respective connections. In some implementations, the connections of each of theinter-module coupler devices 1826 include a conductive connection (e.g., a bonding bump), a capacitive connection (e.g., a pair of capacitive electrodes), or an inductive connection. - The modular
quantum processing unit 1800 includes amodule integration plate 1820 which includesrecesses 1822, through-hole vias 1824A, cavities 1824B, andinter-module coupler devices 1826. Themodular integration plate 1820 may be implemented as the 1408, 1500, 1700 shown inmodule integration plates FIGS. 14, 15, 17 or in another manner. Themodule integration plate 1820 is configured to house thequantum processor chips 1814 in therecesses 1822, and to provide inter-chip coupling between thecap wafers 1812 and thus the respectivequantum processor chips 1814 housed indistinct recesses 1822. - The modular
quantum processing unit 1800 further includes aninterposer 1830. As shown inFIG. 18A , theinterposer 1830 includes a printed circuit board (PCB)substrate 1836. ThePCB substrate 1836 includes through-holes 1834, when being assembled in the example modularquantum processing unit 1800, align with thecavities 1824B of themodule integration plate 1820. ThePCB substrate 1836 also includes the spring-loadedpin connections 1832, when being assembled in the example modularquantum processing unit 1800, are disposed in the respective through-hole vias 1824A of themodule integration plate 1820. In some implementations, each of thequantum processor chips 1814 further includes superconducting circuitry on a second surface opposite to a first surface where the superconducting integrated circuit with quantum circuit devices resides. The superconducting circuitry on the second surface of thequantum processor chips 1814 are galvanically connected to the spring-loadedpin connections 1832 and further to ground. In some instances, the superconducting circuitry on the second surface is conductively connected to the superconducting integrated circuit on the first surface through conductive through-hole vias in the substrate of thequantum processor chips 1814. - The modular
quantum processing unit 1800 further includes one ormore thermalization substrate 1840. Each of thethermalization substrate 1840 includes heat sink materials such as aluminum, copper, and their alloys, which can provide favorable thermal and mechanical properties. For example, eachthermalization substrate 1840 includesmetal pillars 1842 on ametal base 1844. Each of themetal pillars 1842 of athermalization substrate 1840, when being assembled in the example modularquantum processing unit 1800, is disposed in thecavities 1824B of themodule integration plate 1820 and the through-holes 1834 of theinterposer 1830 and is mechanically in contact with at least a subset of thequantum processor chips 1814 of thequantum processor modules 1810 housed inrespective recesses 1822 of themodule integration plate 1820. In some implementations, each of thethermalization substrate 1840 is a heat sink that dissipates the heat generated by each of thequantum processor chips 1814 to regulate the operating temperature of thequantum processor chips 1814. - In some instances, the
metal base 1844 of thethermalization substrate 1840 may be used as the universal ground for thequantum processor modules 1810. As shown inFIG. 18A , the spring-loadedpin contacts 1832 are in electrical contact with themetal base 1844 of thethermalization substrate 1840. In some instances, the spring-loadedpin connections 1832 of theinterposer 1830 are grounded in another manner. - In some instances, the
module integration plate 1820, theinterposer 1830 and thethermalization substrate 1840 may be assembled to form anassembly 1850 prior to integration with thequantum processor modules 1810. In some examples, the example modularquantum processing unit 1800 may be assembled in a different manner. In some implementations, the example modularquantum processing unit 1800 may include additional and different features or components and components of the example modularquantum processing unit 1800 may be implemented in another manner. For example, the example modularquantum processing unit 1800 may include multiple module integration plates, which may be configured to house a subset of quantum processor models. In some instances, the multiple module integration plates may be assembled with a common interposer and a common thermalization substrate. In some instances, a subset of the multiple module integration plates is assembled with an interposer and a thermalization substrate. -
FIG. 18B is a schematic diagram showing a perspective view of theexample assembly 1850 of module integration plate, interposer, and thermalization substrate shown inFIG. 18A . Theexample assembly 1850, as part of the modularquantum processing unit 1800, includes themodule integration plate 1820, theinterposer 1830 and thethermalization substrate 1840. For clarity purposes, the PCB substrate for theinterposer 1830 and the metal base of thethermalization substrate 1840 are not shown. In some implementations, themetal pillars 1842 of thethermalization substrate 1840 and the spring-loadedpin connections 1842 of theinterposer 1830 are disposed through therespective cavities 1824B and the through-hole vias 1824A in themodule integration plate 1820. Themetal pillars 1842 and the spring-loadedpin connections 1832 terminate in therecesses 1822. -
FIGS. 19A-19C are schematic diagrams showing cross-sectional views of example 1900, 1940, 1950. Each of the examplequantum processor modules 1900, 1940, 1950 includes aquantum processor modules quantum processor chip 1902 and amulti-layered cap wafer 1904. Thequantum processor chip 1902 may be implemented as the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, 730 as shown inquantum processor chips FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C, 7A-7C , or in another manner. In some instances, themulti-layered cap wafer 1904 may be bonded to multiple quantum processor chips 1902 (e.g., as shown inFIG. 12 ); thequantum processor chip 1902 may be bonded to multiple multi-layered cap wafers 1904 (e.g., as shown the example 1900, 1940, 1950 shown inquantum processor modules FIGS. 19A-19C - As shown in
FIGS. 19A-19C , themulti-layered cap wafer 1904 includes a wafer stack, which includes afirst cap wafer 1906A and asecond cap wafer 1906B assembled (e.g., using wafer bonding or other techniques) to form 1908A, 1908B, 1908C-I1, 1908C-I2. Each of themultiple metallization layers 1908A, 1908B, 1908C-I1, 1908C-I2 in themultiple metallization layers multi-layered cap wafer 1904 includes superconducting signal lines extending along surfaces of the first and 1906A, 1906B. In some implementations, thesecond cap wafers 1908A, 1908B, 1908C-I1, 1908C-I2 residing on different surfaces of themultiple metallization layers 1906A, 1906B are interconnected by interconnects including conductive through-cap wafers hole vias 1922, bonding bumps 1928, capacitive electrode, and other types of interconnects. In some instances, each of first and 1906A, 1906B may be implemented as thesecond cap wafers 212, 304, 414, 500, 604, 634, 904, 1004, 1404, 1812 incap wafer FIGS. 2, 3A, 4B, 5, 6A-6B, 9B, 10B, 14, 18 , or in another manner. In the example shown, the 1906A, 1906B and the metallization layers in thecap wafers multi-layer cap wafer 1904 are oriented parallel to one another, and the 1906A, 1906B are oriented parallel to the quantum processor chip when the cap wafer is bonded to thecap wafers quantum processor chip 1902. Thus, the generally planar structures of the 1906A, 1906B (and their constituent layers) and thecap wafers quantum processor chip 1902 are spatially oriented parallel to one another. - Each
1908A, 1908B, 1908C-I1, 1908C-I2 in themetallization layer multi-layered cap wafer 1904 may further include superconducting circuit components. In particular, afirst metallization layer 1908A on a first surface (e.g., residing farthest from the quantum processor chip 1902) of thefirst cap wafer 1906A includes Input/Output (I/O)interface devices 1932, e.g., solder joints, contact pads, etc., that connect thequantum processor module 1900 to a control system (e.g., the control system 105 inFIG. 1 ) through external wiring connections for receiving control signals (e.g., flux bias signals, microwave drive signals, etc.) or transmitting readout signals. Thesecond metallization layer 1908B on a second surface (e.g., residing closest to the quantum processor chip 1902) of thesecond cap wafer 1906B facing the quantum circuit devices (e.g., thequbit devices 1912 and the coupler devices 1914) on thequantum processor chip 1902 includessuperconducting circuitry 1926 which may include 214, 216, 218 on thecircuitry portions cap wafer 212 inFIG. 2 . Thesecond metallization layer 1908B on the second surface of thesecond cap wafer 1906B directly communicates with the quantum circuit devices on thequantum processor chip 1902 through galvanic, capacitive, or inductive connections. For example, thesuperconducting circuitry 1926 on the second metallization layer 1908 may include qubit flux bias lines, coupler flux bias lines, flux bias devices, microwave drive lines, readout resonator devices, or other circuit devices. In some instances, the second surface of thesecond cap wafer 1906B includes recesses (e.g., therecesses 232 shown inFIG. 2 ) that are defined by recessed surfaces and sidewalls such that after being assembled with thequantum processor chip 1902 the recesses house respective quantum circuit devices on thequantum processor chip 1902. - As shown in
FIGS. 19A-19C , themulti-layered cap wafer 1904 includes two intermediate metallization layers that are oriented parallel to each other, e.g., a firstintermediate metallization layer 1908C-I1 and a secondintermediate metallization layer 1908C-I2. The firstintermediate metallization layer 1908C-I1 resides on thefirst cap wafer 1906A, which are interconnected to thefirst metallization layer 1908A by respective conductive through-hole vias 1922. Similarly, the secondintermediate metallization layer 1908C-I2 resides on thesecond cap wafer 1906B, and is interconnected to thesecond metallization layer 1908B by respective conductive through-hole vias 1922. In some implementations, each of the conductive through-hole vias 1922 of themulti-layered cap wafer 1904 may be implemented as the 222A, 222B of theconductive vias cap wafer 212 inFIG. 2 , or in another manner. The first, second and intermediate metallization layers 1908A, 1908B, 1908C-I1, 1908C-I2 include superconducting materials. - In some implementations, each of the first and second
intermediate metallization layers 1908C-I1 and 1908C-I2 in themulti-layered cap wafer 1904 includes a microwave circuit. In some implementations, at least one of the first and secondintermediate metallization layers 1908C-I1 and 1908C-I2 includes Purcell filters 1924,reflective attenuators 1934, frequency-specific filters 1936, or other microwave circuit elements. The microwave circuit elements in the first and secondintermediate metallization layers 1908C-I1 and 1908C-I2 are communicably connected to the I/O interface device 1932 on thefirst metallization layer 1908A; and to the quantum circuit devices (e.g., thequbit devices 1924 and the coupler devices 1914) on thequantum processor chip 1902 via respective circuit devices in thesuperconducting circuitry 1926 on thesecond metallization layer 1908B. In particular, the Purcell filters 1924 are communicably connected thequbit device 1912 via the readout resonator devices; thereflective attenuators 1934 are communicably connected to thequbit devices 1912 via the microwave drive lines; and the frequency-specific filters 1936 are communicably connected to thequbit devices 1912 or thecoupler devices 1912 via the qubit flux bias lines or the coupler flux bias lines. - In some implementations, the
Purcell filter 1924 includes one or more coupled linear resonators and is configured to filter microwave photons. In some implementations, a Purcell filter includes a microwave transmission line structure, a network of linear resonators (e.g., discrete lumped capacitors and inductors), or another structure. In some implementations, a Purcell filter is implemented as the example Purcell filters 2202, 2212, 2222 inFIGS. 22A-22C . Each of the example Purcell filters 1924 is a frequency-selective microwave filter disposed between a readout resonator device and a readout line, which allows signal propagation at a resonator operating frequency and suppresses signal propagation at the respective qubit operating frequencies. A Purcell filter can be configured to allow resonator photons to escape (for fast readout) while blocking qubit photons (for long qubit lifetime). - In some implementations, the
reflective attenuator 1934 is configured to attenuate a signal leaked from thequbit device 1912 by reflecting it back towards thequbit device 1912 of thequantum processor chip 1902 and block the energy leaking out of thequbit device 1912. For example, areflective attenuator 1934 includes a large in-line capacitor, inductor, or a combination of circuit elements that act as an impedance mismatch resulting in a diminished transmission across that element. - In some implementations, the frequency-
specific filters 1936 are configured to block respective qubit operating frequencies while allowing signals below a particular frequency (low-pass), above a particular frequency (high-pass), or in a narrow range (band-pass). For example, a frequency-specific filter 1936 includes ?]] lumped element circuit elements, e.g., capacitors and inductors, or a combination thereof, which allows signals below a qubit operating frequency to pass. For instance, a frequency-specific filter 1936 is a low-pass filter including an in-line inductor combined with a capacitor to ground; a high-pass filter including an in-line capacitor combined with an inductor to ground; or a band-pass filter including combinations of both in-line and grounded capacitors and inductors. In some instances, a frequency-specific filter 1936 may include multiple poles or a sequence of a combination of circuit elements, for stronger filtering. In some implementations, a frequency-specific filter 1936 may include one or more resonators (e.g., based on coplanar waveguides or other structures). In some instances, a frequency-specific filter 1936 may be constructed in another manner. - When a
qubit device 1912 is a tunable-frequency qubit device, the tunable-frequency qubit device may be communicably connected to multiple control lines with respective microwave circuit elements. In other words, each tunable-frequency qubit device may be associated with multiple microwave circuit elements for blocking qubit photons, qubit energy, or signals at a qubit operating frequency. For example, a tunable-frequency qubit device may be inductively coupled to a flux bias control line for receiving a flux bias signal; capacitively coupled to a microwave drive line for receiving a microwave drive signal, and a readout line for retrieving a readout measurement. The flux bias control line may include one or more frequency-specific filters; the microwave drive line may include one or more reflective attenuators; and the readout line may include one or more Purcell filters. In some instances, a qubit device may not be communicably connected to a readout line. In certain examples, a qubit device, when it has a fixed frequency, may not be controlled by a flux bias control line. In some instances, other quantum circuit devices in thequantum processor chip 1902 may be controlled via control lines, each of which may include one or more microwave circuit elements. For example, when thecoupler device 1914 is a tunable-frequency coupler device, a coupler flux bias control line associated with the tunable-frequency coupler device may include one or more frequency-specific filters for blocking signals at a coupler operating frequency. In some implementations, thequantum processor chip 1902 only includes quantum circuit devices and does not include any Purcell filters, frequency-specific filters, reflective attenuators, or other microwave circuit elements. - In some instances, the microwave circuit elements in the first and second
intermediate metallization layers 1908C-I1 and 1908C-I2, e.g., thereflective attenuator 1934 on the microwave drive line, the frequency-specific filters 1936 on the flux bias lines, and the Purcell filters on the readout lines, and other components/devices in themulti-layer cap wafer 1904, are configured to confine the qubit energy to thequantum processor chip 1902; block signals at qubit operating frequencies; reduce losses from thequbit devices 1912; improve lifetime of qubit modes; and improve coherence time and overall performance of the quantum processor module. - In some instances, the microwave circuit elements (e.g., the Purcell filters 1924, the
reflective attenuators 1934, and the frequency-specific filters 1936) may be entirely disposed on the secondintermediate metallization layer 1908C-I2 of thesecond cap wafer 1906B as shown inFIG. 19A . In some instances, the microwave circuit elements (e.g., the Purcell filters 1924, thereflective attenuators 1934, and the frequency-specific filters 1936) may be entirely disposed on the firstintermediate metallization layer 1908C-I1 of thefirst cap wafer 1906A as shown inFIG. 19A . In some instances, a first subset of the microwave circuit elements may be disposed on the firstintermediate metallization layer 1908C-I1; and a second subset of the microwave circuit elements may be disposed on the secondintermediate metallization layer 1908C-I2 as shown inFIG. 19C . In some instances, themulti-layered cap wafer 1904 may include more than two cap wafers which may define more than two intermediate metallization layers; and the Purcell filters 1924, thereflective attenuators 1934, the frequency-specific filters 1936, and other microwave circuit elements may be distributed on different intermediate metallization layers in themulti-layered cap wafer 1904. -
FIGS. 20A-20C are block diagrams showing aspects of example 2000, 2030, 2040. Each of thequantum processor modules 2000, 2030, 2040 includes a quantum processor chip and a multi-layered cap wafer. In particular, the examplequantum processor modules quantum processor module 2000 inFIG. 20A includes amulti-layered cap wafer 2001 and aquantum processor chip 2003; the examplequantum processor module 2030 inFIG. 20B includes amulti-layered cap wafer 2031 and aquantum processor chip 2033; and the examplequantum processor module 2040 inFIG. 20C includes amulti-layered cap wafer 2041 and aquantum processor chip 2043. - Each of the
2003, 2033, 2043 includes a superconductingquantum processor chips integrated circuit 2002 which includesqubit devices 2010, and other quantum circuit devices (e.g., coupler devices). The superconductingintegrated circuit 2002 is supported on asubstrate 2009. In some instances, thequbit devices 2010 may be implemented as the 306, 332, 912, 1012, 1412, 1912 inqubit devices FIGS. 3A, 3B, 9B, 10B, 14, 19A-19 or in another manner. Thequantum processor chip 2003 may be implemented as the example 202, 302A, 302B, 302C, 322A, 322B, 322C, 322D, 402, 602, 632, 672, 730, 902, 1002, 1212, 1302, 1814, 1902 shown inquantum processor chips FIGS. 2, 3A-3B, 4A-4B, 5, 6A-6C, 7A-7C, 9B, 10B, 12, 13 18A, 19A-19C. In some instances, thesubstrate 2009 may be implemented as thefirst substrate 203 inFIG. 2 or in another manner. - Each of the
2001, 2031, 2041 is configured to provide communication between each of the respectivemulti-layered cap wafers 2003, 2033, 2043 and a control system (e.g., the control system 105 inquantum processor chips FIG. 1 ). Each of the 2001, 2031, 2041 includes a wafer stack that defines multiple layers; in the examples shown the layers of the cap wafers are all oriented parallel to one another. As shown inmulti-layered cap wafers FIGS. 20A-20C , each of the 2001, 2031, 2041 includes amulti-layered cap wafers first end layer 2004 residing closest to thequantum processor chip 2003, asecond end layer 2008 residing farthest from thequantum processor chip 2003, and anintermediate layer 2006 residing between the first and 2004, 2008. The first end layer resides on asecond end layers first substrate 2005; and the second end layer resides on a second,distinct substrate 2007. Each of the first and 2005, 2007 may be implemented as thesecond substrates substrate 213 inFIG. 2 or in another manner. In some instances, each of the 2001, 2031, 2041 may include other microwave circuit elements, such as filters, isolators, circulators, or amplifiers.multi-layered cap wafers - In certain instances, the
intermediate layer 2006 may reside on thefirst substrate 2005 or on thesecond substrate 2007. In certain examples, each of the first and 2005, 2007 may include a portion of thesecond substrate intermediate layer 2006. In some cases, the portion of theintermediate layer 2006 on thefirst substrate 2005 is communicably coupled to the portion of theintermediate layer 2006 on thesecond substrate 2007. For example, when the first and 2005, 2007 are bonded to form the wafer stack, the portions of thesecond substrates intermediate layer 2006 on the first and 2005, 2007 are communicably coupled together through bonding bumps, capacitive electrodes, or in another manner. Thesecond substrate intermediate layer 2006 includes Purcell filters 2016 and a set offirst coupler devices 2024. Eachfirst coupler device 2024 communicably couples aPurcell filter 2016 with ameasurement line 2026. In some instances, each of thefirst coupler devices 2024 is a capacitive coupler device, an inductive coupler device, or another type of coupler device. In some instances, aPurcell filter 2016 can be a one-on-one Purcell filter (e.g., one Purcell filter for one corresponding readout resonator), a half-wave “intrinsic” Purcell filter, a multiplexed feedline Purcell filter (e.g., a shared common Purcell filter for at least a subset of the readout resonators), or another type of Purcell filter. In some instances, a half-wave “intrinsic” Purcell filter includes a transmission line that acts as a readout resonator for a respective qubit device and has built-in Purcell filtering properties. For example, aPurcell filter 2016 may be implemented as the multiplexedfeedline Purcell filter 2202 inFIG. 22A , the one-on-one transmission 2212A, 2212B, 2212C, 2212D inline Purcell filter FIG. 22B , the one-on-one Purcell filter with a capacitor- 2222A, 2222B, 2222C, 2222D ininductor network FIG. 22C . - The first and
2005, 2007 include conductive throughsecond substrates 2022A, 2022B which are configured to interconnect thehole vias intermediate layer 2006 with the first and 2004, 2008. In some implementations, the first andsecond end layers 2004, 2008, thesecond end layers intermediate layer 2006, and the conductive through- 2022A, 2022B include superconducting materials.hole vias - As shown in
FIG. 20A , thequantum processor chip 2003 further includesreadout resonator devices 2012 Eachreadout resonator device 2012 is capacitively coupled to arespective qubit device 2010 through a respectivecapacitive coupler device 2014. Thefirst end layer 2004 includes a set ofsecond coupler devices 2018. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to areadout resonator device 2012 on thequantum processor chip 2003 through asecond coupler device 2018. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to a subset ofreadout resonator devices 2012 on thequantum processor chip 2003 through a subset ofsecond coupler device 2018. - As shown in
FIG. 20B , thefirst end layer 2004 includesreadout resonator devices 2012 and a set ofsecond coupler devices 2018. Eachreadout resonator device 2012 is capacitively coupled to arespective qubit device 2010 through a respectivecapacitive coupler device 2034. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to areadout resonator device 2012 through asecond coupler device 2018 on thefirst end layer 2004. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to a subset of thereadout resonator devices 2012 through a subset of thesecond coupler devices 2018 on thefirst end layer 2004. - As shown in
FIG. 20C , thefirst end layer 2004 includesreadout resonator devices 2012. Eachreadout resonator device 2012 is capacitively coupled to arespective qubit device 2010 through a respectivecapacitive coupler device 2034. Theintermediate layer 2006 further includes a set ofsecond coupler devices 2018. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to areadout resonator device 2012 on thefirst end layer 2004 through asecond coupler device 2018 on theintermediate layer 2006. In some instances, eachPurcell filter 2016 in theintermediate layer 2006 is communicably coupled to a subset ofreadout resonator device 2012 on thefirst end layer 2004 through a subset ofsecond coupler device 2018 on theintermediate layer 2006. - In some implementations, a
readout resonator device 2012 is a quarter-wave resonator device, a half-wave resonator device, or another type of resonator device. For example, areadout resonator device 2012 may be implemented as a planar resonator (e.g., theplanar resonators 504 inFIG. 5 ) which can be coupled to aqubit device 2010 through corresponding qubit electrodes (e.g., thequbit electrodes 410 inFIGS. 4A-4B ) or in another manner. In some instances, each of thesecond coupler devices 2018 may be a capacitive coupler device, an inductive coupler device, or another type of coupler device. -
FIG. 21 is a schematic diagram showing aspects of an example modularquantum processing unit 2100. The example modularquantum processing unit 2100 includes multiple 2102A, 2102B, 2102C, 2102D. Each of thequantum processor modules 2102A, 2102B, 2102C, 2102D includes a multi-layered cap wafer with a quantum processor chip. In some instances, each of thequantum processor modules 2102A, 2102B, 2102C, 2102D can be implemented as thequantum processor modules 1900, 1940, 1950 as shown inquantum processor modules FIGS. 19A, 19B, 19C or in another manner. In some instances, the modularquantum processing unit 2100 further includes amodule integration plate 2104, which includesrecesses 2012 that house respective quantum processor chips in the 2102A, 2102B, 2102C, 2102D andquantum processor modules cavities 2014 to receive metal pillars of a thermalization substrate for heat dissipation. In some instances, themodule integration plate 2104 may be implemented as the 1408, 1700, 1840 as shown inmodule integration plate FIGS. 14, 17, 18 or in another manner. In some instances, multiple modularquantum processing units 2100 may be stacked together to form a 3-dimensional array of quantum processor modulars. -
FIGS. 22A-22C are circuit diagrams showing aspects of 2200, 2210, 2220. In some examples, theexample readout circuits 2200, 2210, 2220 are configured for performing readout measurements to obtain quantum states of at least a subset of qubit devices in a quantum processor chip of a modular quantum processing unit. Each of theexample readout circuits 2200, 2210, 2220 includes readout resonator devices, coupler devices, at least one Purcell filter, signal lines, and other circuit elements. In some implementations, theexample readout circuits 2200, 2210, 2220 include superconducting circuitry.example readout circuits - In some instances, the
2200, 2210, 2220 may be entirely disposed on one or more layers in a multi-layered cap wafer (e.g., theexample readout circuits Purcell filter 2016 on theintermediate layer 2006 and thereadout resonator device 2012 on thefirst end layer 2004 of themulti-layered cap wafer 2041 as shown inFIGS. 20B and 20C ). In certain instances, the 2200, 2210, 2220 may be partially disposed on a multi-layered cap wafer and partially on a quantum processor chip (e.g., theexample readout circuits readout resonator 2012 on thequantum processor chip 2043 and thePurcell filter 2016 on theintermediate layer 2006 of themulti-layered cap wafer 2041 as shown inFIG. 20A ). In certain examples, the 2200, 2210, 2220 may be configured in the modular quantum processing unit in another manner.example readout circuits - As shown in
FIG. 22A , theexample readout circuit 2200 includes a multiplexedPurcell filter 2202 that is connected to three 2204A, 2204B, 2204C throughreadout resonator devices 2206A, 2206B, 2206C. The multiplexedrespective coupler devices Purcell filter 2202 is a stub (e.g., a transmission line or a waveguide) that is connected to a feedline or a readout line on one end. In some implementations, the 2204A, 2204B, 2204C can be implemented as thereadout resonator devices 504, 2012 inreadout resonator devices FIGS. 5, 20A-20C , or in another manner. The 2204A, 2204B, 2204C may be further coupled with respective qubit devices on quantum processor chips. In some instances, the multiplexedreadout resonator devices Purcell filter 2202 may be connected to more than three readout resonator devices and thus can be configured for perform readout measurements on more than three qubit devices. In some implementations, geometric properties of the stub define the performance of the multiplexedPurcell filter 2202 for all the coupled 2204A, 2204B, 2204C, such that signal propagation at the resonator operating frequency is allowed and signal propagation at the qubit operating frequency is suppressed. For example, the length of the stub defines the width of the example multiplexedreadout resonator devices Purcell filter 2202 shown inFIG. 22A . In some instances, the 2206A, 2206B, 2206C may be implemented in another manner, for example as inductive coupler devices.coupler devices - As shown in
FIG. 22B , theexample readout circuit 2210 includes three Purcell filters 2212A, 2212B, 2212C, which are capacitively coupled to three 2214A, 2214B, 2214C throughreadout resonator devices 2216A, 2216B, 2216C. Therespective coupler devices 2216A, 2216B, 2216C may be implemented as thecoupler devices 2206A, 2206B, 2206C incoupler devices FIG. 22A or in another manner. Each of the three Purcell filters 2212A, 2212B, 2212C is a planar resonator which includes a transmission line with a central conductive line shaped in a meander-like structure. Each of the three Purcell filters 2212A, 2212B, 2212C are configured to allow signal propagation at the resonator operating frequency and to suppress signal propagation at the qubit operating frequency. The three Purcell filters 2212A, 2212B, 2212C are communicably coupled to acommunication bus line 2219 through 2218A, 2218B, 2218C, which can be implemented as therespective coupler devices coupler devices 2024 inFIGS. 20A-20C , or in another manner. The 2214A, 2214B, 2214C may be implemented as thereadout resonator devices 2204A, 2204B, 2204C inreadout resonator devices FIG. 22A or in another manner. Thecommunication bus line 2219 can be further connected to a feedline/readout line. - As shown in
FIG. 22C , theexample readout circuit 2220 includes three Purcell filters 2222A, 2222B, 2222C, which are capacitively coupled to three 2224A, 2224B, 2224C throughreadout resonator devices 2226A, 2226B, 2226C. Therespective coupler devices 2226A, 2226B, 2226C may be implemented as thecoupler devices 2206A, 2206B, 2206C incoupler devices FIG. 22A, 2216A, 2216B, 2216C inFIG. 22B , or in another manner. Each of the three Purcell filters 2222A, 2222B, 2222C includes a network of linear elements including capacitors and inductors. Each of the three Purcell filters 2212A, 2212B, 2212C are configured to allow signal propagation at the resonator operating frequency and to suppress signal propagation at the qubit operating frequency. The three Purcell filters 2222A, 2222B, 2222C are communicably coupled to acommunication bus line 2229 through 2218A, 2218B, 2218C, which can be implemented as therespective coupler devices coupler devices 2024 inFIGS. 20A-20C or in another manner. The 2214A, 2214B, 2214C may be implemented as thereadout resonator devices 2204A, 2204B, 2204C inreadout resonator devices FIG. 22A or in another manner. In some instances, thecommunication bus line 2229 may be implemented as thecommunication bus line 2219 inFIG. 22B . - In a general aspect, a modular quantum processing unit (QPU) includes multi-layered cap wafers with a plurality of layers and one or more of a plurality of Purcell filters, a plurality of frequency-specific filters, or a plurality of reflective attenuators.
- In a first example, a quantum processing unit includes quantum processor chips attached to multi-layered cap wafers. Each of the quantum processor chips includes a plurality of qubit devices. The multi-layered cap wafers are configured to provide communication between the quantum processor chips and a control system. Each of the multi-layered cap wafers includes a wafer stack that defines a plurality of layers. The plurality of layers includes a first end layer residing closest to a respective quantum processor chip; a second end layer residing farthest from the respective quantum processor chip; and an intermediate layer residing between the first and second end layers. The intermediate layer includes one or more of the following: a plurality of Purcell filters, a plurality of frequency-specific filters, or a plurality of reflective attenuators. The number of items in each “plurality” of items may be the same or different; for example, there may be the same number of qubit devices and Purcell filters, or there may be different numbers of qubit devices and Purcell filters.
- Implementations of the first example may include one or more of the following features. Each of the multi-layered cap wafers includes a first cap wafer and a second cap wafer. The intermediate layer is disposed on at least one of the first and second cap wafers. Each of the plurality of Purcell filters includes a microwave transmission line. Each of the plurality of Purcell filters includes a network of linear resonators. The first end layer includes a first superconducting metallization layer, and each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the first superconducting metallization layer and the plurality of Purcell filters on the intermediate layer of the multi-layered cap wafer. The intermediate layer includes a plurality of respective capacitive coupler devices; and the first set of conductive through-hole vias is capacitively coupled to the plurality of Purcell filters through the plurality of respective capacitive coupler devices. The first end layer of each multi-layered cap wafer includes readout resonator devices and capacitive coupler devices; and the plurality of Purcell filters are communicably coupled with the respective readout resonator devices through the respective coupler devices. The coupler devices are inductive coupler devices. The coupler devices are capacitive coupler devices. The second end layer includes a second superconducting metallization layer; and each of the multi-layered cap wafers includes a second set of conductive through-hole vias that connect the second superconducting metallization layer and the plurality of Purcell filters on the intermediate layer.
- Implementations of the first example may include one or more of the following features. The first end layer includes flux bias control lines that communicate flux bias signals to the qubit devices; and each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the flux bias control lines and the plurality of frequency-specific filters on the intermediate layer of the multi-layered cap wafer. The first end layer includes microwave drive lines that communicate microwave drive signals to the qubit devices; and each multi-layered cap wafer includes a first set of conductive through-hole vias that connect the microwave drive lines and the plurality of reflective attenuators on the intermediate layer of the multi-layered cap wafer.
- Implementations of the first example may include one or more of the following features. The second end layer includes input/output (I/O) interface devices. The first end layer includes control lines that communicate control signals to the qubit devices. Each of the quantum processor chips includes readout resonator devices and coupler devices; and the readout resonator devices are communicably coupled to the qubit devices through the respective coupler devices. The coupler devices are capacitive coupler devices. The first end layer includes second coupler devices; and the plurality of Purcell filters is communicably coupled to the readout resonator devices through the respective second coupler devices. The second coupler devices are capacitive coupler devices. The second coupler devices are inductive coupler devices. The plurality of qubit devices operates at respective qubit operating frequencies; the plurality of respective readout resonator devices operates at respective resonator operating frequency; and the plurality of respective Purcell filters is configured to suppress signal propagation at the respective qubit operating frequencies.
- Implementations of the first example may include one or more of the following features. The quantum processing unit includes a module integration plate. The quantum processor chips are disposed between the module integration plate and the multiple-layered cap wafers. The module integration plate includes recesses that house respective subsets of the quantum processor chips; and inter-module coupler devices that provide communication between the subsets of quantum processor chips housed in distinct recesses. The module integration plate is a silicon wafer. The module integration plate is a printed circuit board (PCB).
- A quantum information processing method includes processing quantum information by operation of the quantum processing unit of the first example.
- A quantum processing unit includes quantum processor chips attached to one or more multi-layered cap wafers, each quantum processor chip comprising a plurality of qubit devices. Each of the one or more multi-layered cap wafers includes signal lines that provide communication between at least one of the quantum processor chips and a control system. Each of the multi-layered cap wafers includes a wafer stack that defines a plurality of layers. At least one of the plurality of layers includes a plurality of Purcell filters communicably coupled to the plurality of qubit devices.
- While this specification contains many details, these should not be understood as limitations on the scope of what may be claimed, but rather as descriptions of features specific to particular examples. Certain features that are described in this specification or shown in the drawings in the context of separate implementations can also be combined. Conversely, various features that are described or shown in the context of a single implementation can also be implemented in multiple implementations separately or in any suitable sub-combination.
- Similarly, while operations are depicted in the drawings in a particular order, this should not be understood as requiring that such operations be performed in the particular order shown or in sequential order, or that all illustrated operations be performed, to achieve desirable results. In certain circumstances, multitasking and parallel processing may be advantageous. Moreover, the separation of various system components in the implementations described above should not be understood as requiring such separation in all implementations, and it should be understood that the described program components and systems can generally be integrated together in a single product or packaged into multiple products.
- A number of embodiments have been described. Nevertheless, it will be understood that various modifications can be made. Accordingly, other embodiments are within the scope of the following claims.
Claims (21)
1. A quantum processing unit comprising:
quantum processor chips each comprising a plurality of qubit devices; and
multi-layered cap wafers disposed on the quantum processor chips, the multi-layered cap wafers configured to provide communication between the quantum processor chips and a control system, each of the multi-layered cap wafers comprising a respective wafer stack that includes a plurality of layers, the plurality of layers of each respective wafer stack comprising:
a first end layer residing closest to a respective quantum processor chip;
a second end layer residing farthest from the respective quantum processor chip; and
an intermediate layer residing between the first and second end layers, and comprising at least one of:
a plurality of Purcell filters,
a plurality of reflective attenuators, or
a plurality of frequency-specific filters.
2. The quantum processing unit of claim 1 , wherein each of the multi-layered cap wafers comprises a first cap wafer and a second cap wafer, and the intermediate layer is disposed on at least one of the first and second cap wafers.
3. The quantum processing unit of claim 1 , wherein each of the plurality of Purcell filters comprises a microwave transmission line.
4. The quantum processing unit of claim 1 , wherein each of the plurality of Purcell filters comprises a network of linear elements, the network of linear elements comprising capacitors and inductors.
5. The quantum processing unit of claim 1 , wherein the second end layer comprises input/output (I/O) interface devices.
6. The quantum processing unit of claim 1 , wherein the first end layer comprises control lines that communicate control signals to the qubit devices.
7. The quantum processing unit of claim 1 , wherein the intermediate layer comprises the plurality of frequency-specific filters, the first end layer comprises flux bias control lines that communicate flux bias signals to the qubit devices, and each multi-layered cap wafer comprises a first set of conductive through-hole vias that connect the flux bias control lines and the plurality of frequency-specific filters on the intermediate layer of the multi-layered cap wafer.
8. The quantum processing unit of claim 1 , wherein the intermediate layer comprises the plurality of reflective attenuators, the first end layer comprises microwave drive lines that communicate microwave drive signals to the qubit devices, and each multi-layered cap wafer comprises a first set of conductive through-hole vias that connect the microwave drive lines and the plurality of reflective attenuators on the intermediate layer of the multi-layered cap wafer.
9. The quantum processing unit of claim 1 , wherein the intermediate layer comprises the plurality of Purcell filters, the first end layer comprises a first superconducting metallization layer, and each multi-layered cap wafer comprises a first set of conductive through-hole vias that connect the first superconducting metallization layer and the plurality of Purcell filters on the intermediate layer of the multi-layered cap wafer.
10. The quantum processing unit of claim 9 , wherein the intermediate layer comprises a plurality of respective capacitive coupler devices, and the first set of conductive through-hole vias is capacitively coupled to the plurality of Purcell filters through the plurality of respective capacitive coupler devices.
11. The quantum processing unit of claim 9 , wherein the second end layer comprises a second superconducting metallization layer, and each of the multi-layered cap wafers comprises a second set of conductive through-hole vias that connect the second superconducting metallization layer and the plurality of Purcell filters on the intermediate layer.
12. The quantum processing unit of claim 9 , wherein the first end layer of each multi-layered cap wafer comprises readout resonator devices and capacitive coupler devices, and the plurality of Purcell filters are communicably coupled with the respective readout resonator devices through the respective coupler devices.
13. The quantum processing unit of claim 12 , wherein the coupler devices are inductive coupler devices.
14. The quantum processing unit of claim 12 , wherein the coupler devices are capacitive coupler devices.
15. The quantum processing unit of claim 1 , wherein each of the quantum processor chips comprises readout resonator devices and coupler devices, and the readout resonator devices are communicably coupled to the qubit devices through the respective coupler devices.
16. The quantum processing unit of claim 15 , wherein the coupler devices are capacitive coupler devices.
17. The quantum processing unit of claim 15 , wherein the plurality of qubit devices operate at respective qubit operating frequencies, the plurality of respective readout resonator devices operates at respective resonator operating frequency, and the plurality of Purcell filters are configured to suppress signal propagation at the respective qubit operating frequencies.
18. The quantum processing unit of claim 15 , wherein the intermediate layer comprises the plurality of Purcell filters, each of the plurality of Purcell filter is communicably coupled to a one of the readout resonator devices through a respective second coupler device.
19. The quantum processing unit of claim 15 , wherein the intermediate layer comprises the plurality of Purcell filters, each of the plurality of Purcell filters is communicably coupled to multiple of the readout resonator devices through respective subsets of second coupler devices.
20. The quantum processing unit of claim 15 , wherein the first end layer comprises second coupler devices, and the plurality of Purcell filters is communicably coupled to the readout resonator devices through the respective second coupler devices.
21-33. (canceled)
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| US18/949,267 US20250077926A1 (en) | 2022-05-18 | 2024-11-15 | Multi-Layered Cap Wafers for Modular Quantum Processing Units |
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| US202263343461P | 2022-05-18 | 2022-05-18 | |
| PCT/US2023/022696 WO2023225171A1 (en) | 2022-05-18 | 2023-05-18 | Multi-layered cap wafers for modular quantum processing units |
| US18/949,267 US20250077926A1 (en) | 2022-05-18 | 2024-11-15 | Multi-Layered Cap Wafers for Modular Quantum Processing Units |
Related Parent Applications (1)
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| PCT/US2023/022696 Continuation WO2023225171A1 (en) | 2022-05-18 | 2023-05-18 | Multi-layered cap wafers for modular quantum processing units |
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| US20250077926A1 true US20250077926A1 (en) | 2025-03-06 |
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| US18/949,267 Pending US20250077926A1 (en) | 2022-05-18 | 2024-11-15 | Multi-Layered Cap Wafers for Modular Quantum Processing Units |
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| US (1) | US20250077926A1 (en) |
| EP (1) | EP4527170A4 (en) |
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| JP6742433B2 (en) * | 2015-12-15 | 2020-08-19 | グーグル エルエルシー | Superconducting bump bond |
| US11121301B1 (en) * | 2017-06-19 | 2021-09-14 | Rigetti & Co, Inc. | Microwave integrated quantum circuits with cap wafers and their methods of manufacture |
| WO2020036673A2 (en) | 2018-06-14 | 2020-02-20 | Rigetti & Co., Inc. | Modular quantum processor architectures |
| US11620559B2 (en) * | 2019-02-06 | 2023-04-04 | International Business Machines Corporation | Reduction of spontaneous emission and thermal photon noise in quantum computing machines using a galvanically grounded filter |
| US12293253B2 (en) * | 2020-08-19 | 2025-05-06 | International Business Machines Corporation | Multipole filter on a quantum device with multiplexing and signal separation |
| US12340273B2 (en) * | 2020-11-04 | 2025-06-24 | The Regents Of The University Of California | Quantum processor unit architecture for quantum computing via an arbitrarily programmable interaction connectivity graph |
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| AU2023273662A1 (en) | 2024-12-19 |
| EP4527170A1 (en) | 2025-03-26 |
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| EP4527170A4 (en) | 2025-08-20 |
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